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107723645136 = 24321744004757
BaseRepresentation
bin110010001010011010…
…1000110000011010000
3101022001110001011112200
41210110311012003100
53231104223121021
6121253151323200
710532330606232
oct1442465060320
9338043034480
10107723645136
114175a209aa8
1218a64520500
13a209a13373
1452dcb4c252
152c07347126
hex1914d460d0

107723645136 has 60 divisors (see below), whose sum is σ = 319210514532. Its totient is φ = 33795652608.

The previous prime is 107723645111. The next prime is 107723645143. The reversal of 107723645136 is 631546327701.

107723645136 is a `hidden beast` number, since 1 + 0 + 7 + 72 + 3 + 64 + 513 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99891395136 + 7832250000 = 316056^2 + 88500^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107723645091 and 107723645100.

It is a congruent number.

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, 21999931 + ... + 22004826.

Almost surely, 2107723645136 is an apocalyptic number.

107723645136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107723645136 is an abundant number, since it is smaller than the sum of its proper divisors (211486869396).

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

107723645136 is a wasteful number, since it uses less digits than its factorization.

107723645136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44004788 (or 44004779 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 107723645136 in words is "one hundred seven billion, seven hundred twenty-three million, six hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 44004757 88009514 132014271 176019028 264028542 352038056 396042813 528057084 704076112 748080869 792085626 1056114168 1496161738 1584171252 2112228336 2244242607 2992323476 3168342504 4488485214 5984646952 6336685008 6732727821 8976970428 11969293904 13465455642 17953940856 26930911284 35907881712 53861822568 107723645136