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128634045525 = 32523715451537
BaseRepresentation
bin111011111001100101…
…1111100010001010101
3110022000201122120100100
41313303023330101111
54101420303424100
6135032122004313
712202446226536
oct1676313742125
9408021576310
10128634045525
114a60a624337
1220b1b346699
13c18cbb654b
146323cda68d
15352ce96400
hex1df32fc455

128634045525 has 36 divisors (see below), whose sum is σ = 236624852932. Its totient is φ = 66750635520.

The previous prime is 128634045521. The next prime is 128634045559. The reversal of 128634045525 is 525540436821.

128634045525 is a `hidden beast` number, since 1 + 2 + 8 + 634 + 0 + 4 + 5 + 5 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12646801764 + 115987243761 = 112458^2 + 340569^2 .

It is not a de Polignac number, because 128634045525 - 22 = 128634045521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128634045521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7717444 + ... + 7734093.

Almost surely, 2128634045525 is an apocalyptic number.

128634045525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128634045525 is a deficient number, since it is larger than the sum of its proper divisors (107990807407).

128634045525 is a wasteful number, since it uses less digits than its factorization.

128634045525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15451590 (or 15451582 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 128634045525 in words is "one hundred twenty-eight billion, six hundred thirty-four million, forty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1665 2775 8325 15451537 46354611 77257685 139063833 231773055 386288425 571706869 695319165 1158865275 1715120607 2858534345 3476595825 5145361821 8575603035 14292671725 25726809105 42878015175 128634045525