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14957534601 = 3410721272
BaseRepresentation
bin11011110111000100…
…11101110110001001
31102121102020111010000
431323202131312021
5221113112101401
610512115513213
71036442642412
oct157342356611
942542214100
1014957534601
116386158149
122a952b8809
131544acb2b9
14a1c72c809
155c8227186
hex37b89dd89

14957534601 has 45 divisors (see below), whose sum is σ = 22733740029. Its totient is φ = 9800712936.

The previous prime is 14957534587. The next prime is 14957534611. The reversal of 14957534601 is 10643575941.

The square root of 14957534601 is 122301.

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

14957534601 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 7 + 5 + 34 + 601 = 666.

It is not a de Polignac number, because 14957534601 - 25 = 14957534569 is a prime.

It is a super-2 number, since 2×149575346012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14957534611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117775800 + ... + 117775926.

Almost surely, 214957534601 is an apocalyptic number.

14957534601 is the 122301-st square number.

14957534601 is the 61151-st centered octagonal number.

It is an amenable number.

14957534601 is a deficient number, since it is larger than the sum of its proper divisors (7776205428).

14957534601 is an frugal number, since it uses more digits than its factorization.

14957534601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 14957534601 in words is "fourteen billion, nine hundred fifty-seven million, five hundred thirty-four thousand, six hundred one".

Divisors: 1 3 9 27 81 107 127 321 381 963 1143 2889 3429 8667 10287 11449 13589 16129 34347 40767 48387 103041 122301 145161 309123 366903 435483 927369 1100709 1306449 1454023 1725803 4362069 5177409 13086207 15532227 39258621 46596681 117775863 139790043 184660921 553982763 1661948289 4985844867 14957534601