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15057348124 = 22713535991303
BaseRepresentation
bin11100000010111110…
…01110011000011100
31102212101001112112011
432001133032120130
5221314140114444
610530043121004
71042064230060
oct160137163034
942771045464
1015057348124
116427531565
122b02813164
13155c6a7c60
14a2bab1aa0
155d1d91734
hex3817ce61c

15057348124 has 96 divisors (see below), whose sum is σ = 33123686400. Its totient is φ = 5830126848.

The previous prime is 15057348101. The next prime is 15057348167. The reversal of 15057348124 is 42184375051.

15057348124 is digitally balanced in base 2, 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11555257 + ... + 11556559.

It is an arithmetic number, because the mean of its divisors is an integer number (345038400).

Almost surely, 215057348124 is an apocalyptic number.

15057348124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15057348124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561843200).

15057348124 is an abundant number, since it is smaller than the sum of its proper divisors (18066338276).

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

15057348124 is a wasteful number, since it uses less digits than its factorization.

15057348124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 15057348124 in words is "fifteen billion, fifty-seven million, three hundred forty-eight thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 599 689 742 1198 1303 1378 1484 2396 2606 2756 4193 4823 5212 7787 8386 9121 9646 15574 16772 16939 18242 19292 31148 31747 33878 36484 54509 63494 67756 69059 109018 118573 126988 138118 218036 222229 237146 276236 412711 444458 474292 483413 780497 825422 888916 897767 966826 1560994 1650844 1795534 1933652 2888977 3121988 3591068 5463479 5777954 6284369 10146461 10926958 11555908 12568738 20292922 21853916 25137476 40585844 41366341 71025227 82732682 142050454 165465364 284100908 289564387 537762433 579128774 1075524866 1158257548 2151049732 3764337031 7528674062 15057348124