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129724013972 = 22731149451629
BaseRepresentation
bin111100011010000100…
…1110101110110010100
3110101211200121200222002
41320310021311312110
54111133321421342
6135332215454432
712241452632240
oct1706411656624
9411750550862
10129724013972
1150019907803
1221184387418
13c3049641a7
1463c8987420
1535939e9d32
hex1e34275d94

129724013972 has 24 divisors (see below), whose sum is σ = 267817320960. Its totient is φ = 53802586080.

The previous prime is 129724013927. The next prime is 129724014031. The reversal of 129724013972 is 279310427921.

129724013972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 74724947 + ... + 74726682.

It is an arithmetic number, because the mean of its divisors is an integer number (11159055040).

Almost surely, 2129724013972 is an apocalyptic number.

It is an amenable number.

129724013972 is an abundant number, since it is smaller than the sum of its proper divisors (138093306988).

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

129724013972 is a wasteful number, since it uses less digits than its factorization.

129724013972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149451671 (or 149451669 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 129724013972 in words is "one hundred twenty-nine billion, seven hundred twenty-four million, thirteen thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 149451629 298903258 597806516 1046161403 2092322806 4184645612 4633000499 9266000998 18532001996 32431003493 64862006986 129724013972