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112327376562 = 2331031071731091
BaseRepresentation
bin110100010011100111…
…0111011111010110010
3101201221021202221211000
41220213032323322302
53320021302022222
6123334045302430
711054401642602
oct1504716737262
9351837687730
10112327376562
114370196a615
121992a264a16
13a791738bbb
14561833ac02
152dc65c59ac
hex1a273bbeb2

112327376562 has 128 divisors (see below), whose sum is σ = 256100382720. Its totient is φ = 36486607680.

The previous prime is 112327376531. The next prime is 112327376569. The reversal of 112327376562 is 265673723211.

112327376562 is a `hidden beast` number, since 1 + 12 + 3 + 2 + 7 + 3 + 76 + 562 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (112327376569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102957637 + ... + 102958727.

It is an arithmetic number, because the mean of its divisors is an integer number (2000784240).

Almost surely, 2112327376562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112327376562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128050191360).

112327376562 is an abundant number, since it is smaller than the sum of its proper divisors (143773006158).

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

112327376562 is a wasteful number, since it uses less digits than its factorization.

112327376562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1479 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 112327376562 in words is "one hundred twelve billion, three hundred twenty-seven million, three hundred seventy-six thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 103 107 173 206 214 309 321 346 519 618 642 927 963 1038 1091 1557 1854 1926 2182 2781 2889 3114 3273 4671 5562 5778 6546 9342 9819 11021 17819 18511 19638 22042 29457 33063 35638 37022 53457 55533 58914 66126 99189 106914 111066 112373 116737 160371 166599 188743 198378 224746 233474 297567 320742 333198 337119 350211 377486 481113 499797 566229 595134 674238 700422 962226 999594 1011357 1050633 1132458 1698687 1906633 2022714 2101266 3034071 3151899 3397374 3813266 5096061 5719899 6068142 6303798 10192122 11439798 12023911 17159697 19440529 20195501 24047822 34319394 36071733 38881058 40391002 51479091 58321587 60586503 72143466 102958182 108215199 116643174 121173006 174964761 181759509 216430398 324645597 349929522 363519018 524894283 545278527 649291194 1049788566 1090557054 2080136603 4160273206 6240409809 12480819618 18721229427 37442458854 56163688281 112327376562