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5758006656 = 27389168481
BaseRepresentation
bin1010101110011010…
…00011010110000000
3112212021201001012210
411113031003112000
543243022203111
62351210022120
7262455151263
oct52715032600
915767631183
105758006656
112495276696
121148417940
13709bca83c
143c8a18cda
1523a7860a6
hex157343580

5758006656 has 64 divisors (see below), whose sum is σ = 15466647600. Its totient is φ = 1897758720.

The previous prime is 5758006649. The next prime is 5758006669. The reversal of 5758006656 is 6566008575.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50065 + ... + 118416.

Almost surely, 25758006656 is an apocalyptic number.

It is an amenable number.

5758006656 is an abundant number, since it is smaller than the sum of its proper divisors (9708640944).

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

5758006656 is a wasteful number, since it uses less digits than its factorization.

5758006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168587 (or 168575 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The square root of 5758006656 is about 75881.5304010139. The cubic root of 5758006656 is about 1792.3550927911.

The spelling of 5758006656 in words is "five billion, seven hundred fifty-eight million, six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 8544 11392 17088 34176 168481 336962 505443 673924 1010886 1347848 2021772 2695696 4043544 5391392 8087088 10782784 14994809 16174176 21565568 29989618 32348352 44984427 59979236 64696704 89968854 119958472 179937708 239916944 359875416 479833888 719750832 959667776 1439501664 1919335552 2879003328 5758006656