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28657072656 = 2432141072
BaseRepresentation
bin11010101100000110…
…000011101000010000
32201222011100010101100
4122230012003220100
5432142202311111
621055340304400
72033102045532
oct325406035020
981864303340
1028657072656
1111176196923
125679242100
1329190aa034
14155bd51852
15b2aca9756
hex6ac183a10

28657072656 has 45 divisors (see below), whose sum is σ = 80205687471. Its totient is φ = 9551680416.

The previous prime is 28657072643. The next prime is 28657072667. The reversal of 28657072656 is 65627075682.

The square root of 28657072656 is 169284.

It is a perfect power (a square), and thus also a powerful number.

28657072656 is a `hidden beast` number, since 2 + 8 + 6 + 570 + 7 + 2 + 65 + 6 = 666.

It is a super-2 number, since 2×286570726562 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2024355 + ... + 2038461.

Almost surely, 228657072656 is an apocalyptic number.

28657072656 is the 169284-th square number.

It is an amenable number.

28657072656 is an abundant number, since it is smaller than the sum of its proper divisors (51548614815).

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

28657072656 is an frugal number, since it uses more digits than its factorization.

28657072656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28228 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 28657072656 in words is "twenty-eight billion, six hundred fifty-seven million, seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14107 28214 42321 56428 84642 112856 126963 169284 225712 253926 338568 507852 677136 1015704 2031408 199007449 398014898 597022347 796029796 1194044694 1592059592 1791067041 2388089388 3184119184 3582134082 4776178776 7164268164 9552357552 14328536328 28657072656