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107066251152 = 24327106216519
BaseRepresentation
bin110001110110110100…
…1010101011110010000
3101020100122001002112100
41203231221111132100
53223232430014102
6121104025200400
710510126055550
oct1435551253620
9336318032470
10107066251152
1141452120193
1218900330100
13a133770a43
145279705160
152bb978da1c
hex18eda55790

107066251152 has 60 divisors (see below), whose sum is σ = 342442060480. Its totient is φ = 30590357184.

The previous prime is 107066251129. The next prime is 107066251163. The reversal of 107066251152 is 251152660701.

107066251152 is a `hidden beast` number, since 10 + 7 + 0 + 6 + 625 + 1 + 15 + 2 = 666.

It is a super-2 number, since 2×1070662511522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53107252 + ... + 53109267.

Almost surely, 2107066251152 is an apocalyptic number.

107066251152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107066251152 is an abundant number, since it is smaller than the sum of its proper divisors (235375809328).

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

107066251152 is a wasteful number, since it uses less digits than its factorization.

107066251152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106216540 (or 106216531 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 107066251152 in words is "one hundred seven billion, sixty-six million, two hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 106216519 212433038 318649557 424866076 637299114 743515633 849732152 955948671 1274598228 1487031266 1699464304 1911897342 2230546899 2549196456 2974062532 3823794684 4461093798 5098392912 5948125064 6691640697 7647589368 8922187596 11896250128 13383281394 15295178736 17844375192 26766562788 35688750384 53533125576 107066251152