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112653316560 = 243517103268069
BaseRepresentation
bin110100011101010101…
…0010011000111010000
3101202210000002102102210
41220322222103013100
53321203222112220
6123430251312120
711065440251151
oct1507252230720
9352700072383
10112653316560
1143859951114
12199bb44b640
13a8141199c5
145649743928
152de500a6e0
hex1a3aa931d0

112653316560 has 160 divisors (see below), whose sum is σ = 373359317760. Its totient is φ = 27999166464.

The previous prime is 112653316549. The next prime is 112653316597. The reversal of 112653316560 is 65613356211.

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 31 ways as a sum of consecutive naturals, for example, 286206 + ... + 554274.

It is an arithmetic number, because the mean of its divisors is an integer number (2333495736).

Almost surely, 2112653316560 is an apocalyptic number.

112653316560 is a gapful number since it is divisible by the number (10) 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 112653316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186679658880).

112653316560 is an abundant number, since it is smaller than the sum of its proper divisors (260706001200).

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

112653316560 is a wasteful number, since it uses less digits than its factorization.

112653316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268205 (or 268199 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 112653316560 in words is "one hundred twelve billion, six hundred fifty-three million, three hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 103 120 136 170 204 206 240 255 272 309 340 408 412 510 515 618 680 816 824 1020 1030 1236 1360 1545 1648 1751 2040 2060 2472 3090 3502 4080 4120 4944 5253 6180 7004 8240 8755 10506 12360 14008 17510 21012 24720 26265 28016 35020 42024 52530 70040 84048 105060 140080 210120 268069 420240 536138 804207 1072276 1340345 1608414 2144552 2680690 3216828 4021035 4289104 4557173 5361380 6433656 8042070 9114346 10722760 12867312 13671519 16084140 18228692 21445520 22785865 27343038 27611107 32168280 36457384 45571730 54686076 55222214 64336560 68357595 72914768 82833321 91143460 109372152 110444428 136715190 138055535 165666642 182286920 218744304 220888856 273430380 276111070 331333284 364573840 414166605 441777712 469388819 546860760 552222140 662666568 828333210 938777638 1093721520 1104444280 1325333136 1408166457 1656666420 1877555276 2208888560 2346944095 2816332914 3313332840 3755110552 4693888190 5632665828 6626665680 7040832285 7510221104 9387776380 11265331656 14081664570 18775552760 22530663312 28163329140 37551105520 56326658280 112653316560