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107984358864 = 2432749891381
BaseRepresentation
bin110010010010001011…
…1101000110111010000
3101022201121121210112200
41210210113220313100
53232122443440424
6121335103323200
710541644622454
oct1444427506720
9338647553480
10107984358864
11418833a0098
1218b178b0500
13a24ba37445
145325616664
152c201958c9
hex19245e8dd0

107984358864 has 30 divisors (see below), whose sum is σ = 302206226946. Its totient is φ = 35994786240.

The previous prime is 107984358857. The next prime is 107984358893. The reversal of 107984358864 is 468853489701.

107984358864 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 8 + 43 + 588 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94069797264 + 13914561600 = 306708^2 + 117960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 374945547 + ... + 374945834.

Almost surely, 2107984358864 is an apocalyptic number.

It is an amenable number.

107984358864 is an abundant number, since it is smaller than the sum of its proper divisors (194221868082).

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

107984358864 is a wasteful number, since it uses less digits than its factorization.

107984358864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749891395 (or 749891386 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 107984358864 in words is "one hundred seven billion, nine hundred eighty-four million, three hundred fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 749891381 1499782762 2249674143 2999565524 4499348286 5999131048 6749022429 8998696572 11998262096 13498044858 17997393144 26996089716 35994786288 53992179432 107984358864