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112384074564 = 22332938992243
BaseRepresentation
bin110100010101010011…
…1001110001101000100
3101202002020110111212000
41220222213032031010
53320130310341224
6123343432425300
711055660605106
oct1505247161504
9352066414760
10112384074564
1143730975673
1219945248230
13a7a03cac08
145621a99576
152dcb5750c9
hex1a2a9ce344

112384074564 has 96 divisors (see below), whose sum is σ = 302191344000. Its totient is φ = 36076215168.

The previous prime is 112384074563. The next prime is 112384074587. The reversal of 112384074564 is 465470483211.

112384074564 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 84 + 0 + 7 + 4 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (112384074563) by changing a digit.

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, 1172227 + ... + 1264469.

It is an arithmetic number, because the mean of its divisors is an integer number (3147826500).

Almost surely, 2112384074564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112384074564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151095672000).

112384074564 is an abundant number, since it is smaller than the sum of its proper divisors (189807269436).

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

112384074564 is a wasteful number, since it uses less digits than its factorization.

112384074564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92674 (or 92666 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 112384074564 in words is "one hundred twelve billion, three hundred eighty-four million, seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 389 522 778 783 1044 1167 1556 1566 2334 3132 3501 4668 7002 10503 11281 14004 21006 22562 33843 42012 45124 67686 92243 101529 135372 184486 203058 276729 304587 368972 406116 553458 609174 830187 1106916 1218348 1660374 2490561 2675047 3320748 4981122 5350094 8025141 9962244 10700188 16050282 24075423 32100564 35882527 48150846 71765054 72226269 96301692 107647581 143530108 144452538 215295162 288905076 322942743 430590324 645885486 968828229 1040593283 1291770972 1937656458 2081186566 3121779849 3875312916 4162373132 6243559698 9365339547 12487119396 18730679094 28096018641 37461358188 56192037282 112384074564