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5322354044544 = 2734997514889
BaseRepresentation
bin100110101110011010100…
…0001011010111010000000
3200211210221000010021110000
41031130311001122322000
51144200140113411134
615153020010240000
71056345615634155
oct115346501327200
920753830107400
105322354044544
11177221a117339
1271b611726000
132c7b851b5c64
141458636aa22c
15936a7645e99
hex4d73505ae80

5322354044544 has 160 divisors (see below), whose sum is σ = 15855157088100. Its totient is φ = 1772335116288.

The previous prime is 5322354044531. The next prime is 5322354044549. The reversal of 5322354044544 is 4454404532235.

5322354044544 is a `hidden beast` number, since 5 + 3 + 2 + 23 + 5 + 40 + 44 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4908493422144 + 413860622400 = 2215512^2 + 643320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5322354044544.

It is not an unprimeable number, because it can be changed into a prime (5322354044549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10079452 + ... + 10594340.

Almost surely, 25322354044544 is an apocalyptic number.

5322354044544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5322354044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927578544050).

5322354044544 is an abundant number, since it is smaller than the sum of its proper divisors (10532803043556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5322354044544 is an equidigital number, since it uses as much as digits as its factorization.

5322354044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515912 (or 515891 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 5322354044544 its reverse (4454404532235), we get a palindrome (9776758576779).

The spelling of 5322354044544 in words is "five trillion, three hundred twenty-two billion, three hundred fifty-four million, forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 997 1152 1296 1728 1994 2592 2991 3456 3988 5184 5982 7976 8973 10368 11964 15952 17946 23928 26919 31904 35892 47856 53838 63808 71784 80757 95712 107676 127616 143568 161514 191424 215352 287136 323028 382848 430704 514889 574272 646056 861408 1029778 1148544 1292112 1544667 1722816 2059556 2584224 3089334 3445632 4119112 4634001 5168448 6178668 8238224 9268002 10336896 12357336 13902003 16476448 18536004 24714672 27804006 32952896 37072008 41706009 49429344 55608012 65905792 74144016 83412018 98858688 111216024 148288032 166824036 197717376 222432048 296576064 333648072 444864096 513344333 593152128 667296144 889728192 1026688666 1334592288 1540032999 1779456384 2053377332 2669184576 3080065998 4106754664 4620098997 5338369152 6160131996 8213509328 9240197994 12320263992 13860296991 16427018656 18480395988 24640527984 27720593982 32854037312 36960791976 41580890973 49281055968 55441187964 65708074624 73921583952 83161781946 98562111936 110882375928 147843167904 166323563892 197124223872 221764751856 295686335808 332647127784 443529503712 591372671616 665294255568 887059007424 1330588511136 1774118014848 2661177022272 5322354044544