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112906750032 = 243219291423003
BaseRepresentation
bin110100100100111000…
…1000100100001010000
3101210102122222011210200
41221021301010201100
53322213112000112
6123511343255200
711104635353226
oct1511161044120
9353378864720
10112906750032
1143979a0a46a
1219a702aa500
13a85479213b
145671274b16
152e0c3bbcdc
hex1a49c44850

112906750032 has 120 divisors (see below), whose sum is σ = 344082367200. Its totient is φ = 34425264384.

The previous prime is 112906750031. The next prime is 112906750079. The reversal of 112906750032 is 230057609211.

112906750032 is a `hidden beast` number, since 1 + 1 + 2 + 90 + 67 + 500 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112906750031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632158 + ... + 790845.

It is an arithmetic number, because the mean of its divisors is an integer number (2867353060).

Almost surely, 2112906750032 is an apocalyptic number.

112906750032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112906750032 is an abundant number, since it is smaller than the sum of its proper divisors (231175617168).

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

112906750032 is a wasteful number, since it uses less digits than its factorization.

112906750032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423065 (or 1423056 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 112906750032 in words is "one hundred twelve billion, nine hundred six million, seven hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 8816 9918 13224 19836 26448 39672 79344 1423003 2846006 4269009 5692012 8538018 11384024 12807027 17076036 22768048 25614054 27037057 34152072 41267087 51228108 54074114 68304144 81111171 82534174 102456216 108148228 123801261 162222342 165068348 204912432 216296456 243333513 247602522 324444684 330136696 371403783 432592912 486667026 495205044 648889368 660273392 742807566 784074653 973334052 990410088 1297778736 1485615132 1568149306 1946668104 1980820176 2352223959 2971230264 3136298612 3893336208 4704447918 5942460528 6272597224 7056671877 9408895836 12545194448 14113343754 18817791672 28226687508 37635583344 56453375016 112906750032