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107658341064 = 23321787956161
BaseRepresentation
bin110010001000011101…
…1111110101011001000
3101021212220011101012100
41210100323332223020
53230441013403224
6121242455513400
710530605541321
oct1442073765310
9337786141170
10107658341064
114172636609a
1218a46688860
13a1c932a0c1
1452d41cd448
152c01747ac9
hex1910efeac8

107658341064 has 48 divisors (see below), whose sum is σ = 308726128620. Its totient is φ = 33775165440.

The previous prime is 107658341027. The next prime is 107658341083. The reversal of 107658341064 is 460143856701.

107658341064 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 583 + 4 + 1 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81714796164 + 25943544900 = 285858^2 + 161070^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43976857 + ... + 43979304.

Almost surely, 2107658341064 is an apocalyptic number.

It is an amenable number.

107658341064 is an abundant number, since it is smaller than the sum of its proper divisors (201067787556).

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

107658341064 is a wasteful number, since it uses less digits than its factorization.

107658341064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87956190 (or 87956183 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 107658341064 in words is "one hundred seven billion, six hundred fifty-eight million, three hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 87956161 175912322 263868483 351824644 527736966 703649288 791605449 1055473932 1495254737 1583210898 2110947864 2990509474 3166421796 4485764211 5981018948 6332843592 8971528422 11962037896 13457292633 17943056844 26914585266 35886113688 53829170532 107658341064