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106000000614 = 23247153181839
BaseRepresentation
bin110001010111000010…
…1111010011001100110
3101010121022200221202200
41202232011322121212
53214042000004424
6120410135515330
710441531065444
oct1425605723146
9333538627680
10106000000614
1140a552673a2
1218663228b46
139cc38a8871
1451b7c6db94
152b55d728c9
hex18ae17a666

106000000614 has 48 divisors (see below), whose sum is σ = 234709263360. Its totient is φ = 34558550640.

The previous prime is 106000000607. The next prime is 106000000699. The reversal of 106000000614 is 416000000601.

106000000614 is a `hidden beast` number, since 1 + 0 + 600 + 0 + 0 + 0 + 0 + 61 + 4 = 666.

It is a super-2 number, since 2×1060000006142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1254307 + ... + 1336145.

It is an arithmetic number, because the mean of its divisors is an integer number (4889776320).

Almost surely, 2106000000614 is an apocalyptic number.

106000000614 is an abundant number, since it is smaller than the sum of its proper divisors (128709262746).

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

106000000614 is a wasteful number, since it uses less digits than its factorization.

106000000614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83425 (or 83422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 106000000614 in words is "one hundred six billion, six hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 1531 3062 4593 9186 13779 27558 71957 81839 143914 163678 215871 245517 431742 491034 647613 736551 1295226 1473102 3846433 7692866 11539299 23078598 34617897 69235794 125295509 250591018 375886527 751773054 1127659581 2255319162 5888888923 11777777846 17666666769 35333333538 53000000307 106000000614