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112811960628 = 223317193233917
BaseRepresentation
bin110100100010000011…
…1011110100100110100
3101210012001121101012000
41221010013132210310
53322014330220003
6123454115455300
711102404562253
oct1510407364464
9353161541160
10112811960628
1143930457814
1219a445b7530
13a83ac54233
14566283c79a
152e03de61a3
hex1a441de934

112811960628 has 96 divisors (see below), whose sum is σ = 325978934400. Its totient is φ = 33529241088.

The previous prime is 112811960557. The next prime is 112811960629. The reversal of 112811960628 is 826069118211.

It is a happy number.

112811960628 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 19 + 6 + 0 + 628 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112811960629) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1582075 + ... + 1651842.

It is an arithmetic number, because the mean of its divisors is an integer number (3395613900).

Almost surely, 2112811960628 is an apocalyptic number.

112811960628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112811960628 is an abundant number, since it is smaller than the sum of its proper divisors (213166973772).

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

112811960628 is a wasteful number, since it uses less digits than its factorization.

112811960628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233966 (or 3233958 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 112811960628 in words is "one hundred twelve billion, eight hundred eleven million, nine hundred sixty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 459 513 612 646 684 918 969 1026 1292 1836 1938 2052 2907 3876 5814 8721 11628 17442 34884 3233917 6467834 9701751 12935668 19403502 29105253 38807004 54976589 58210506 61444423 87315759 109953178 116421012 122888846 164929767 174631518 184333269 219906356 245777692 329859534 349263036 368666538 494789301 552999807 659719068 737333076 989578602 1044555191 1105999614 1484367903 1658999421 1979157204 2089110382 2211999228 2968735806 3133665573 3317998842 4178220764 5937471612 6267331146 6635997684 9400996719 12534662292 18801993438 28202990157 37603986876 56405980314 112811960628