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5872402944 = 29321976469
BaseRepresentation
bin1010111100000010…
…11100001000000000
3120011020221222102100
411132001130020000
544011313343234
62410413550400
7265344413202
oct53601341000
916136858370
105872402944
112543900281
12117a7a5400
13727811c55
143d9cb6772
15245831399
hex15e05c200

5872402944 has 120 divisors (see below), whose sum is σ = 17036816940. Its totient is φ = 1947230208.

The previous prime is 5872402933. The next prime is 5872402957. The reversal of 5872402944 is 4492042785.

5872402944 is a `hidden beast` number, since 587 + 2 + 4 + 0 + 29 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5861433600 + 10969344 = 76560^2 + 3312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5872402944.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 904542 + ... + 911010.

Almost surely, 25872402944 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 5872402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518408470).

5872402944 is an abundant number, since it is smaller than the sum of its proper divisors (11164413996).

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

5872402944 is a wasteful number, since it uses less digits than its factorization.

5872402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5872402944 is about 76631.6053857676. The cubic root of 5872402944 is about 1804.1471193663.

The spelling of 5872402944 in words is "five billion, eight hundred seventy-two million, four hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 256 288 384 394 512 576 591 768 788 1152 1182 1536 1576 1773 2304 2364 3152 3546 4608 4728 6304 6469 7092 9456 12608 12938 14184 18912 19407 25216 25876 28368 37824 38814 50432 51752 56736 58221 75648 77628 100864 103504 113472 116442 151296 155256 207008 226944 232884 302592 310512 414016 453888 465768 621024 828032 907776 931536 1242048 1274393 1656064 1863072 2484096 2548786 3312128 3726144 3823179 4968192 5097572 7452288 7646358 9936384 10195144 11469537 14904576 15292716 20390288 22939074 29809152 30585432 40780576 45878148 61170864 81561152 91756296 122341728 163122304 183512592 244683456 326244608 367025184 489366912 652489216 734050368 978733824 1468100736 1957467648 2936201472 5872402944