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12381926975 = 521133789113
BaseRepresentation
bin10111000100000010…
…10011011000111111
31011221220210001122222
423202001103120333
5200324233130400
65404351355555
7615556433315
oct134201233077
934856701588
1012381926975
115284303000
122496822bbb
131224318b12
1485663a0b5
154c7064185
hex2e205363f

12381926975 has 96 divisors (see below), whose sum is σ = 17694313920. Its totient is φ = 8586547200.

The previous prime is 12381926959. The next prime is 12381926981. The reversal of 12381926975 is 57962918321.

12381926975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12381926975 - 24 = 12381926959 is a prime.

It is a super-2 number, since 2×123819269752 (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 109574519 + ... + 109574631.

It is an arithmetic number, because the mean of its divisors is an integer number (184315770).

Almost surely, 212381926975 is an apocalyptic number.

12381926975 is a deficient number, since it is larger than the sum of its proper divisors (5312386945).

12381926975 is a wasteful number, since it uses less digits than its factorization.

12381926975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 53.

The spelling of 12381926975 in words is "twelve billion, three hundred eighty-one million, nine hundred twenty-six thousand, nine hundred seventy-five".

Divisors: 1 5 11 25 37 55 89 113 121 185 275 407 445 565 605 925 979 1243 1331 2035 2225 2825 3025 3293 4181 4477 4895 6215 6655 10057 10175 10769 13673 16465 20905 22385 24475 31075 33275 36223 45991 49247 50285 53845 68365 82325 104525 110627 111925 118459 150403 181115 229955 246235 251425 269225 341825 372109 398453 505901 553135 592295 752015 905575 1149775 1216897 1231175 1860545 1992265 2529505 2765675 2961475 3760075 4093199 4382983 5564911 6084485 9302725 9961325 12647525 13385867 20465995 21914915 27824555 30422425 45025189 66929335 102329975 109574575 139122775 225125945 334646675 495277079 1125629725 2476385395 12381926975