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54689758540 = 225175912721467
BaseRepresentation
bin110010111011110000…
…110111110101001100
312020011102102120220121
4302323300313311030
51344001034233130
641042451154324
73644156164114
oct627360676514
9166142376817
1054689758540
1121214a4105a
12a7235a59a4
135207556091
14290b514044
151651467d7a
hexcbbc37d4c

54689758540 has 96 divisors (see below), whose sum is σ = 124644925440. Its totient is φ = 20079811584.

The previous prime is 54689758511. The next prime is 54689758553. The reversal of 54689758540 is 4585798645.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2536887 + ... + 2558353.

It is an arithmetic number, because the mean of its divisors is an integer number (1298384640).

Almost surely, 254689758540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54689758540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62322462720).

54689758540 is an abundant number, since it is smaller than the sum of its proper divisors (69955166900).

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

54689758540 is a wasteful number, since it uses less digits than its factorization.

54689758540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21679 (or 21677 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 61.

The spelling of 54689758540 in words is "fifty-four billion, six hundred eighty-nine million, seven hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 127 170 236 254 295 340 508 590 635 1003 1180 1270 2006 2159 2540 4012 4318 5015 7493 8636 10030 10795 14986 20060 21467 21590 29972 37465 42934 43180 74930 85868 107335 127381 149860 214670 254762 364939 429340 509524 636905 729878 1266553 1273810 1459756 1824695 2533106 2547620 2726309 3649390 5066212 5452618 6332765 7298780 10905236 12665530 13631545 21531401 25331060 27263090 43062802 46347253 54526180 86125604 92694506 107657005 160852231 185389012 215314010 231736265 321704462 430628020 463472530 643408924 804261155 926945060 1608522310 2734487927 3217044620 5468975854 10937951708 13672439635 27344879270 54689758540