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54125252145 = 3252959719901
BaseRepresentation
bin110010011010000111…
…011100111000110001
312011201002012200201100
4302122013130320301
51341322031032040
640510443555013
73624163023636
oct623207347061
9164632180640
1054125252145
1120a55326048
12a5a652ba69
135147606b23
14289656a18d
15161bb0bb30
hexc9a1dce31

54125252145 has 96 divisors (see below), whose sum is σ = 100097337600. Its totient is φ = 27010368000.

The previous prime is 54125252143. The next prime is 54125252149.

54125252145 is a `hidden beast` number, since 5 + 4 + 125 + 2 + 521 + 4 + 5 = 666.

54125252145 is nontrivially palindromic in base 10.

54125252145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54125252145 - 21 = 54125252143 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54125252143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5461695 + ... + 5471595.

It is an arithmetic number, because the mean of its divisors is an integer number (1042680600).

Almost surely, 254125252145 is an apocalyptic number.

It is an amenable number.

54125252145 is a deficient number, since it is larger than the sum of its proper divisors (45972085455).

54125252145 is a wasteful number, since it uses less digits than its factorization.

54125252145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10071 (or 10068 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The spelling of 54125252145 in words is "fifty-four billion, one hundred twenty-five million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 59 71 87 145 177 213 261 295 355 435 531 639 885 1065 1305 1711 2059 2655 3195 4189 5133 6177 8555 9901 10295 12567 15399 18531 20945 25665 29703 30885 37701 49505 62835 76995 89109 92655 121481 148515 188505 287129 364443 445545 584159 607405 702971 861387 1093329 1435645 1752477 1822215 2108913 2584161 2920795 3514855 4306935 5257431 5466645 6326739 8762385 10544565 12920805 16940611 20386159 26287155 31633695 41475289 50821833 61158477 84703055 101930795 124425867 152465499 183475431 207376445 254109165 305792385 373277601 622129335 762327495 917377155 1202783381 1866388005 3608350143 6013916905 10825050429 18041750715 54125252145