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112420317654 = 232172321175703
BaseRepresentation
bin110100010110011000…
…1011110100111010110
3101202011202122212000200
41220230301132213112
53320214100131104
6123351205321330
711056610635101
oct1505461364726
9352152585020
10112420317654
114374a37a637
1219955406246
13a7a7a7a728
145626811738
152dce833b39
hex1a2cc5e9d6

112420317654 has 96 divisors (see below), whose sum is σ = 270397730304. Its totient is φ = 33575351040.

The previous prime is 112420317643. The next prime is 112420317673. The reversal of 112420317654 is 456713024211.

112420317654 is a `hidden beast` number, since 1 + 12 + 420 + 3 + 176 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447167 + ... + 1522869.

It is an arithmetic number, because the mean of its divisors is an integer number (2816643024).

Almost surely, 2112420317654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112420317654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135198865152).

112420317654 is an abundant number, since it is smaller than the sum of its proper divisors (157977412650).

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

112420317654 is a wasteful number, since it uses less digits than its factorization.

112420317654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75962 (or 75959 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 112420317654 in words is "one hundred twelve billion, four hundred twenty million, three hundred seventeen thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 211 306 391 414 422 633 782 1173 1266 1899 2346 3519 3587 3798 4853 7038 7174 9706 10761 14559 21522 29118 32283 43677 64566 75703 82501 87354 151406 165002 227109 247503 454218 495006 681327 742509 1286951 1362654 1485018 1741169 2573902 3482338 3860853 5223507 7721706 10447014 11582559 15670521 15973333 23165118 29599873 31341042 31946666 47919999 59199746 88799619 95839998 143759997 177599238 266398857 271546661 287519994 367386659 532797714 543093322 734773318 814639983 1102159977 1629279966 2204319954 2443919949 3306479931 4887839898 6245573203 6612959862 12491146406 18736719609 37473439218 56210158827 112420317654