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112998938685984 = 25321346237652753
BaseRepresentation
bin11001101100010110011101…
…100110011011001000100000
3112211002121000022202201102200
4121230112131212123020200
5104302333311300422414
61040154555031413200
732541622016663661
oct3154263546331040
9484077008681380
10112998938685984
1133006643014a4a
121080bb4bb24200
134b089a5c770b0
141dc926bcc9368
15d0e565bb3109
hex66c59d99b220

112998938685984 has 144 divisors (see below), whose sum is σ = 346067264356632. Its totient is φ = 34768098975744.

The previous prime is 112998938685973. The next prime is 112998938686043. The reversal of 112998938685984 is 489586839899211.

112998938685984 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 8 + 9 + 3 + 8 + 6 + 8 + 598 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92257946010000 + 20740992675984 = 9605100^2 + 4554228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 112998938685894 and 112998938685903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172784952 + ... + 173437704.

Almost surely, 2112998938685984 is an apocalyptic number.

It is an amenable number.

112998938685984 is an abundant number, since it is smaller than the sum of its proper divisors (233068325670648).

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

112998938685984 is a wasteful number, since it uses less digits than its factorization.

112998938685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699019 (or 699008 counting only the distinct ones).

The product of its digits is 19349176320, while the sum is 90.

The spelling of 112998938685984 in words is "one hundred twelve trillion, nine hundred ninety-eight billion, nine hundred thirty-eight million, six hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 46237 92474 138711 184948 277422 369896 416133 554844 601081 652753 739792 832266 1109688 1202162 1305506 1479584 1664532 1803243 1958259 2219376 2404324 2611012 3329064 3606486 3916518 4438752 4808648 5222024 5409729 5874777 6658128 7212972 7833036 8485789 9617296 10444048 10819458 11749554 13316256 14425944 15666072 16971578 19234592 20888096 21638916 23499108 25457367 28851888 31332144 33943156 43277832 46998216 50914734 57703776 62664288 67886312 76372101 86555664 93996432 101829468 135772624 152744202 173111328 187992864 203658936 271545248 305488404 407317872 610976808 814635744 1221953616 2443907232 30181340461 60362680922 90544021383 120725361844 181088042766 241450723688 271632064149 362176085532 392357425993 482901447376 543264128298 724352171064 784714851986 965802894752 1086528256596 1177072277979 1448704342128 1569429703972 2173056513192 2354144555958 2897408684256 3138859407944 3531216833937 4346113026384 4708289111916 6277718815888 7062433667874 8692226052768 9416578223832 12555437631776 14124867335748 18833156447664 28249734671496 37666312895328 56499469342992 112998938685984