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1107316537272 = 23321110122936037
BaseRepresentation
bin10000000111010001001…
…101010111011110111000
310220212011210102101000200
4100013101031113132320
5121120241013143042
62204405540202200
7143000223161001
oct20072115273670
93825153371020
101107316537272
11397679354810
1215a732099360
138055b84c27a
143b8470a01a8
151dc0ce93c4c
hex101d13577b8

1107316537272 has 192 divisors, whose sum is σ = 3305997732960. Its totient is φ = 332028288000.

The previous prime is 1107316537199. The next prime is 1107316537289. The reversal of 1107316537272 is 2727356137011.

1107316537272 is a `hidden beast` number, since 1 + 10 + 7 + 31 + 6 + 537 + 2 + 72 = 666.

It is a super-2 number, since 2×11073165372722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183418638 + ... + 183424674.

Almost surely, 21107316537272 is an apocalyptic number.

1107316537272 is a gapful number since it is divisible by the number (12) 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 1107316537272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652998866480).

1107316537272 is an abundant number, since it is smaller than the sum of its proper divisors (2198681195688).

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

1107316537272 is a wasteful number, since it uses less digits than its factorization.

1107316537272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 1107316537272 in words is "one trillion, one hundred seven billion, three hundred sixteen million, five hundred thirty-seven thousand, two hundred seventy-two".