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107057628036 = 22327141884831
BaseRepresentation
bin110001110110100100…
…0011100001110000100
3101020100000210222211200
41203231020130032010
53223223223044121
6121103120302500
710506662552352
oct1435510341604
9336300728750
10107057628036
1141448270547
12188b9471a30
13a131a41ac8
1452784dc7d2
152bb8b38a26
hex18ed21c384

107057628036 has 36 divisors (see below), whose sum is σ = 274429419264. Its totient is φ = 35183257200.

The previous prime is 107057627951. The next prime is 107057628053. The reversal of 107057628036 is 630826750701.

107057628036 is a `hidden beast` number, since 1 + 0 + 70 + 576 + 2 + 8 + 0 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1070576280362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107057627982 and 107057628000.

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, 20939860 + ... + 20944971.

It is an arithmetic number, because the mean of its divisors is an integer number (7623039424).

Almost surely, 2107057628036 is an apocalyptic number.

It is an amenable number.

107057628036 is an abundant number, since it is smaller than the sum of its proper divisors (167371791228).

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

107057628036 is a wasteful number, since it uses less digits than its factorization.

107057628036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41884912 (or 41884907 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 107057628036 in words is "one hundred seven billion, fifty-seven million, six hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 41884831 83769662 125654493 167539324 251308986 376963479 502617972 753926958 1507853916 2973823001 5947646002 8921469003 11895292004 17842938006 26764407009 35685876012 53528814018 107057628036