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190686492432 = 243217591320251
BaseRepresentation
bin1011000110010111001…
…1001111011100010000
3200020012021021110221200
42301211303033130100
511111011220224212
6223333345151200
716530250304502
oct2614563173420
9606167243850
10190686492432
1173962610107
1230b5862b500
1314c9b921b57
14932d1bbd72
154e609bb6dc
hex2c65ccf710

190686492432 has 120 divisors (see below), whose sum is σ = 574626480480. Its totient is φ = 58809216000.

The previous prime is 190686492361. The next prime is 190686492443. The reversal of 190686492432 is 234294686091.

190686492432 is a `hidden beast` number, since 1 + 9 + 0 + 68 + 64 + 92 + 432 = 666.

190686492432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1906864924322 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 515694 + ... + 804557.

It is an arithmetic number, because the mean of its divisors is an integer number (4788554004).

Almost surely, 2190686492432 is an apocalyptic number.

190686492432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190686492432 is an abundant number, since it is smaller than the sum of its proper divisors (383939988048).

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

190686492432 is a wasteful number, since it uses less digits than its factorization.

190686492432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320341 (or 1320332 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 190686492432 in words is "one hundred ninety billion, six hundred eighty-six million, four hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 59 68 72 102 118 136 144 153 177 204 236 272 306 354 408 472 531 612 708 816 944 1003 1062 1224 1416 2006 2124 2448 2832 3009 4012 4248 6018 8024 8496 9027 12036 16048 18054 24072 36108 48144 72216 144432 1320251 2640502 3960753 5281004 7921506 10562008 11882259 15843012 21124016 22444267 23764518 31686024 44888534 47529036 63372048 67332801 77894809 89777068 95058072 134665602 155789618 179554136 190116144 201998403 233684427 269331204 311579236 359108272 403996806 467368854 538662408 623158472 701053281 807993612 934737708 1077324816 1246316944 1324211753 1402106562 1615987224 1869475416 2648423506 2804213124 3231974448 3738950832 3972635259 5296847012 5608426248 7945270518 10593694024 11216852496 11917905777 15890541036 21187388048 23835811554 31781082072 47671623108 63562164144 95343246216 190686492432