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432131869821025 = 52114733433800373
BaseRepresentation
bin110001001000001011000101…
…0100110001100100001100001
32002200001101220000010201110101
41202100112022212030201201
5423120022032133233100
64131022350155102401
7160010332401661333
oct14220261246144141
92080041800121411
10432131869821025
1111576610794a8a0
1240572074a41a01
1315717b255c115a
14789d418ddd453
1534e5b1ce9486a
hex189058a98c861

432131869821025 has 24 divisors (see below), whose sum is σ = 596993939478144. Its totient is φ = 307590963422400.

The previous prime is 432131869821023. The next prime is 432131869821061. The reversal of 432131869821025 is 520128968131234.

It is a happy number.

It is not a de Polignac number, because 432131869821025 - 21 = 432131869821023 is a prime.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432131869821023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16716887262 + ... + 16716913111.

It is an arithmetic number, because the mean of its divisors is an integer number (24874747478256).

Almost surely, 2432131869821025 is an apocalyptic number.

It is an amenable number.

432131869821025 is a deficient number, since it is larger than the sum of its proper divisors (164862069657119).

432131869821025 is a wasteful number, since it uses less digits than its factorization.

432131869821025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33433800441 (or 33433800436 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 432131869821025 in words is "four hundred thirty-two trillion, one hundred thirty-one billion, eight hundred sixty-nine million, eight hundred twenty-one thousand, twenty-five".

Divisors: 1 5 11 25 47 55 235 275 517 1175 2585 12925 33433800373 167169001865 367771804103 835845009325 1571388617531 1838859020515 7856943087655 9194295102575 17285274792841 39284715438275 86426373964205 432131869821025