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125132637645 = 335926908427
BaseRepresentation
bin111010010001001111…
…1001000010111001101
3102221222201010121201000
41310202133020113031
54022232423401040
6133252442410513
712016621604361
oct1644237102715
9387881117630
10125132637645
1149083125814
1220302800a39
13ba52676172
1460b0c932a1
1533c58ac130
hex1d227c85cd

125132637645 has 16 divisors (see below), whose sum is σ = 222458022720. Its totient is φ = 66737406672.

The previous prime is 125132637611. The next prime is 125132637653. The reversal of 125132637645 is 546736231521.

125132637645 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 3 + 2 + 637 + 6 + 4 + 5 = 666.

It is not a de Polignac number, because 125132637645 - 27 = 125132637517 is a prime.

It is a super-3 number, since 3×1251326376453 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125132637645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463454079 + ... + 463454348.

It is an arithmetic number, because the mean of its divisors is an integer number (13903626420).

Almost surely, 2125132637645 is an apocalyptic number.

125132637645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125132637645 is a deficient number, since it is larger than the sum of its proper divisors (97325385075).

125132637645 is an equidigital number, since it uses as much as digits as its factorization.

125132637645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926908441 (or 926908435 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 125132637645 in words is "one hundred twenty-five billion, one hundred thirty-two million, six hundred thirty-seven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 926908427 2780725281 4634542135 8342175843 13903626405 25026527529 41710879215 125132637645