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112398665760 = 2532578054629
BaseRepresentation
bin110100010101101111…
…0111000100000100000
3101202010020220211012200
41220223132320200200
53320143024301020
6123345113253200
711056225616043
oct1505336704040
9352106824180
10112398665760
1143739131207
121994a104200
13a7a3439464
1456239b6c5a
152dcc9a8590
hex1a2b7b8820

112398665760 has 72 divisors (see below), whose sum is σ = 383560451820. Its totient is φ = 29972977152.

The previous prime is 112398665747. The next prime is 112398665783. The reversal of 112398665760 is 67566893211.

112398665760 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 9 + 8 + 66 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111457157904 + 941507856 = 333852^2 + 30684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 112398665697 and 112398665706.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39025875 + ... + 39028754.

Almost surely, 2112398665760 is an apocalyptic number.

112398665760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112398665760 is an abundant number, since it is smaller than the sum of its proper divisors (271161786060).

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

112398665760 is a wasteful number, since it uses less digits than its factorization.

112398665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78054650 (or 78054639 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 112398665760 in words is "one hundred twelve billion, three hundred ninety-eight million, six hundred sixty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 78054629 156109258 234163887 312218516 390273145 468327774 624437032 702491661 780546290 936655548 1170819435 1248874064 1404983322 1561092580 1873311096 2341638870 2497748128 2809966644 3122185160 3512458305 3746622192 4683277740 5619933288 6244370320 7024916610 7493244384 9366555480 11239866576 12488740640 14049833220 18733110960 22479733152 28099666440 37466221920 56199332880 112398665760