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5455088784 = 2432193753887
BaseRepresentation
bin1010001010010011…
…00000110010010000
3112002011201020000100
411011021200302100
542133000320114
62301145252400
7252116326635
oct50511406220
915064636010
105455088784
11234a289a42
121082a94100
1368c21a8b2
1439a6c618c
1521dd9c909
hex145260c90

5455088784 has 120 divisors (see below), whose sum is σ = 16504816640. Its totient is φ = 1676070144.

The previous prime is 5455088783. The next prime is 5455088789. The reversal of 5455088784 is 4878805545.

5455088784 is a `hidden beast` number, since 5 + 4 + 550 + 8 + 8 + 7 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5455088784.

It is not an unprimeable number, because it can be changed into a prime (5455088783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74289 + ... + 128175.

Almost surely, 25455088784 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 5455088784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252408320).

5455088784 is an abundant number, since it is smaller than the sum of its proper divisors (11049727856).

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

5455088784 is a wasteful number, since it uses less digits than its factorization.

5455088784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53957 (or 53948 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The square root of 5455088784 is about 73858.5728537994. The cubic root of 5455088784 is about 1760.3564171423.

The spelling of 5455088784 in words is "five billion, four hundred fifty-five million, eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 37 38 48 57 72 74 76 111 114 144 148 152 171 222 228 296 304 333 342 444 456 592 666 684 703 888 912 1332 1368 1406 1776 2109 2664 2736 2812 4218 5328 5624 6327 8436 11248 12654 16872 25308 33744 50616 53887 101232 107774 161661 215548 323322 431096 484983 646644 862192 969966 1023853 1293288 1939932 1993819 2047706 2586576 3071559 3879864 3987638 4095412 5981457 6143118 7759728 7975276 8190824 9214677 11962914 12286236 15950552 16381648 17944371 18429354 23925828 24572472 31901104 35888742 36858708 37882561 47851656 49144944 71777484 73717416 75765122 95703312 113647683 143554968 147434832 151530244 227295366 287109936 303060488 340943049 454590732 606120976 681886098 909181464 1363772196 1818362928 2727544392 5455088784