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15374570106 = 2374359144289
BaseRepresentation
bin11100101000110010…
…10101001001111010
31110200110222002021110
432110121111021322
5222441342220411
611021334221150
71052665455360
oct162431251172
943613862243
1015374570106
11657a5a9095
122b90ab47b6
1315b032587c
14a5bc89630
155eeb532a6
hex39465527a

15374570106 has 64 divisors (see below), whose sum is σ = 36568857600. Its totient is φ = 4217826816.

The previous prime is 15374570093. The next prime is 15374570129. The reversal of 15374570106 is 60107547351.

15374570106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34410 + ... + 178698.

It is an arithmetic number, because the mean of its divisors is an integer number (571388400).

Almost surely, 215374570106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15374570106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284428800).

15374570106 is an abundant number, since it is smaller than the sum of its proper divisors (21194287494).

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

15374570106 is a wasteful number, since it uses less digits than its factorization.

15374570106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144403.

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 15374570106 in words is "fifteen billion, three hundred seventy-four million, five hundred seventy thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 43 59 86 118 129 177 258 301 354 413 602 826 903 1239 1806 2478 2537 5074 7611 15222 17759 35518 53277 106554 144289 288578 432867 865734 1010023 2020046 3030069 6060138 6204427 8513051 12408854 17026102 18613281 25539153 37226562 43430989 51078306 59591357 86861978 119182714 130292967 178774071 260585934 357548142 366061193 732122386 1098183579 2196367158 2562428351 5124856702 7687285053 15374570106