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112470662016 = 2732239408497
BaseRepresentation
bin110100010111111000…
…1100001101110000000
3101202022021101121111200
41220233301201232000
53320314442141031
6123400204341200
711061061565466
oct1505761415600
9352267347450
10112470662016
1143775836049
121996a244800
13a7b53267ab
14562d398836
152dd3e7a8e6
hex1a2fc61b80

112470662016 has 96 divisors (see below), whose sum is σ = 325001008800. Its totient is φ = 37333266432.

The previous prime is 112470661987. The next prime is 112470662077. The reversal of 112470662016 is 610266074211.

112470662016 is a `hidden beast` number, since 1 + 1 + 24 + 7 + 0 + 6 + 620 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 71080 + ... + 479576.

It is an arithmetic number, because the mean of its divisors is an integer number (3385427175).

Almost surely, 2112470662016 is an apocalyptic number.

112470662016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112470662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162500504400).

112470662016 is an abundant number, since it is smaller than the sum of its proper divisors (212530346784).

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

112470662016 is a wasteful number, since it uses less digits than its factorization.

112470662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408756 (or 408741 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 112470662016 in words is "one hundred twelve billion, four hundred seventy million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 288 384 478 576 717 956 1152 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 15296 17208 22944 30592 34416 45888 68832 91776 137664 275328 408497 816994 1225491 1633988 2450982 3267976 3676473 4901964 6535952 7352946 9803928 13071904 14705892 19607856 26143808 29411784 39215712 52287616 58823568 78431424 97630783 117647136 156862848 195261566 235294272 292892349 390523132 470588544 585784698 781046264 878677047 1171569396 1562092528 1757354094 2343138792 3124185056 3514708188 4686277584 6248370112 7029416376 9372555168 12496740224 14058832752 18745110336 28117665504 37490220672 56235331008 112470662016