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64714704257025 = 3252181229632
BaseRepresentation
bin11101011011011100100001…
…11101011000000000000001
322111010122222000020021020100
432231232100331120000001
531440241203242211100
6345345305201033013
716426324462045224
oct1655562075300001
9274118860207210
1064714704257025
11196903964982a9
127312187625769
132a157552c2954
1411da2cbbb95bb
157735a09ac400
hex3adb90f58001

64714704257025 has 81 divisors (see below), whose sum is σ = 116594507595657. Its totient is φ = 34312236897600.

The previous prime is 64714704256883. The next prime is 64714704257041. The reversal of 64714704257025 is 52075240741746.

The square root of 64714704257025 is 8044545.

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

64714704257025 is a `hidden beast` number, since 6 + 4 + 7 + 1 + 4 + 7 + 0 + 42 + 570 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34732246067649 + 29982458189376 = 5893407^2 + 5475624^2 .

It is not a de Polignac number, because 64714704257025 - 225 = 64714670702593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21840938194 + ... + 21840941156.

Almost surely, 264714704257025 is an apocalyptic number.

64714704257025 is the 8044545-th square number.

64714704257025 is the 4022273-rd centered octagonal number.

It is an amenable number.

64714704257025 is a deficient number, since it is larger than the sum of its proper divisors (51879803338632).

64714704257025 is an frugal number, since it uses more digits than its factorization.

64714704257025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 64714704257025 in words is "sixty-four trillion, seven hundred fourteen billion, seven hundred four million, two hundred fifty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 181 225 543 905 1629 2715 2963 4525 8145 8889 13575 14815 26667 32761 40725 44445 74075 98283 133335 163805 222225 294849 491415 536303 666675 819025 1474245 1608909 2457075 2681515 4826727 7371225 8044545 8779369 13407575 24133635 26338107 40222725 43896845 79014321 97070843 120668175 131690535 219484225 291212529 395071605 485354215 658452675 873637587 1456062645 1589065789 1975358025 2426771075 4368187935 4767197367 7280313225 7945328945 14301592101 21840939675 23835986835 39726644725 71507960505 119179934175 287620907809 357539802525 862862723427 1438104539045 2588588170281 4314313617135 7190522695225 12942940851405 21571568085675 64714704257025