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125134340736 = 2731033163793
BaseRepresentation
bin111010010001010010…
…1101000001010000000
3102221222211100010220110
41310202211220022000
54022233342400421
6133252543111320
712016642226556
oct1644245501200
9387884303813
10125134340736
1149084089329
12203032a2540
13ba52b21402
1460b11b7bd6
1533c5ae6a76
hex1d22968280

125134340736 has 64 divisors (see below), whose sum is σ = 335615267520. Its totient is φ = 41306468352.

The previous prime is 125134340719. The next prime is 125134340759. The reversal of 125134340736 is 637043431521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 125134340694 and 125134340703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1542345 + ... + 1621448.

It is an arithmetic number, because the mean of its divisors is an integer number (5243988555).

Almost surely, 2125134340736 is an apocalyptic number.

125134340736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125134340736 is an abundant number, since it is smaller than the sum of its proper divisors (210480926784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125134340736 is a wasteful number, since it uses less digits than its factorization.

125134340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163913 (or 3163901 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 125134340736 in words is "one hundred twenty-five billion, one hundred thirty-four million, three hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 39552 3163793 6327586 9491379 12655172 18982758 25310344 37965516 50620688 75931032 101241376 151862064 202482752 303724128 325870679 404965504 607448256 651741358 977612037 1214896512 1303482716 1955224074 2606965432 3910448148 5213930864 7820896296 10427861728 15641792592 20855723456 31283585184 41711446912 62567170368 125134340736