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112678376976 = 243211225432
BaseRepresentation
bin110100011110000100…
…1111001011000010000
3101202211202020121212100
41220330021321120100
53321231131030401
6123432544400400
711066163254454
oct1507411713020
9352752217770
10112678376976
1143872008400
1219a07916100
13a819382559
14564cbc8664
152de730ab86
hex1a3c279610

112678376976 has 135 divisors (see below), whose sum is σ = 346752995407. Its totient is φ = 34131535680.

The previous prime is 112678376963. The next prime is 112678377037. The reversal of 112678376976 is 679673876211.

The square root of 112678376976 is 335676.

It is a perfect power (a square), and thus also a powerful number.

112678376976 is a `hidden beast` number, since 1 + 126 + 78 + 376 + 9 + 76 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44307961 + ... + 44310503.

Almost surely, 2112678376976 is an apocalyptic number.

112678376976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112678376976 is the 335676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112678376976

112678376976 is an abundant number, since it is smaller than the sum of its proper divisors (234074618431).

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

112678376976 is an equidigital number, since it uses as much as digits as its factorization.

112678376976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 2559 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 112678376976 in words is "one hundred twelve billion, six hundred seventy-eight million, three hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2543 2904 4356 5086 5808 7629 8712 10172 15258 17424 20344 22887 27973 30516 40688 45774 55946 61032 83919 91548 111892 122064 167838 183096 223784 251757 307703 335676 366192 447568 503514 615406 671352 923109 1007028 1230812 1342704 1846218 2014056 2461624 2769327 3692436 4028112 4923248 5538654 6466849 7384872 11077308 12933698 14769744 19400547 22154616 25867396 38801094 44309232 51734792 58201641 71135339 77602188 103469584 116403282 142270678 155204376 213406017 232806564 284541356 310408752 426812034 465613128 569082712 640218051 782488729 853624068 931226256 1138165424 1280436102 1564977458 1707248136 2347466187 2560872204 3129954916 3414496272 4694932374 5121744408 6259909832 7042398561 9389864748 10243488816 12519819664 14084797122 18779729496 28169594244 37559458992 56339188488 112678376976