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112699348056 = 2334618773251
BaseRepresentation
bin110100011110101100…
…1111001010001011000
3101202220012201001210000
41220331121321101120
53321302013114211
6123435014053000
711066536436601
oct1507531712130
9352805631700
10112699348056
1143882931279
1219a1294a160
13a820815989
1456518c6da8
152de909e656
hex1a3d679458

112699348056 has 160 divisors (see below), whose sum is σ = 321301957680. Its totient is φ = 36897120000.

The previous prime is 112699348049. The next prime is 112699348081. The reversal of 112699348056 is 650843996211.

112699348056 is a `hidden beast` number, since 1 + 1 + 26 + 9 + 93 + 480 + 56 = 666.

It is a super-2 number, since 2×1126993480562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112699347993 and 112699348011.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 34664431 + ... + 34667681.

Almost surely, 2112699348056 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 112699348056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160650978840).

112699348056 is an abundant number, since it is smaller than the sum of its proper divisors (208602609624).

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

112699348056 is a wasteful number, since it uses less digits than its factorization.

112699348056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 112699348056 in words is "one hundred twelve billion, six hundred ninety-nine million, three hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 877 1098 1464 1647 1754 2196 2631 3251 3294 3508 4392 4941 5262 6502 6588 7016 7893 9753 9882 10524 13004 13176 15786 19506 19764 21048 23679 26008 29259 31572 39012 39528 47358 53497 58518 63144 71037 78024 87777 94716 106994 117036 142074 160491 175554 189432 198311 213988 234072 263331 284148 320982 351108 396622 427976 481473 526662 568296 594933 641964 702216 793244 962946 1053324 1189866 1283928 1444419 1586488 1784799 1925892 2106648 2379732 2851127 2888838 3569598 3851784 4333257 4759464 5354397 5702254 5777676 7139196 8553381 8666514 10708794 11404508 11555352 14278392 16063191 17106762 17333028 21417588 22809016 25660143 32126382 34213524 34666056 42835176 51320286 64252764 68427048 76980429 102640572 128505528 153960858 173918747 205281144 230941287 307921716 347837494 461882574 521756241 615843432 695674988 923765148 1043512482 1391349976 1565268723 1847530296 2087024964 3130537446 4174049928 4695806169 6261074892 9391612338 12522149784 14087418507 18783224676 28174837014 37566449352 56349674028 112699348056