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138006968868 = 22323833526913
BaseRepresentation
bin1000000010000111011…
…0110011101000100100
3111012012221110102000100
42000201312303220210
54230114241000433
6143222144144100
712653640610626
oct2004166635044
9435187412010
10138006968868
115358a37737a
12228b6308030
13100249b7932
146972a68c16
1538cac88b13
hex2021db3a24

138006968868 has 18 divisors (see below), whose sum is σ = 348850949174. Its totient is φ = 46002322944.

The previous prime is 138006968861. The next prime is 138006968941. The reversal of 138006968868 is 868869600831.

It can be written as a sum of positive squares in only one way, i.e., 73966593024 + 64040375844 = 271968^2 + 253062^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1380069688682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138006968861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1916763421 + ... + 1916763492.

Almost surely, 2138006968868 is an apocalyptic number.

138006968868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138006968868 is an abundant number, since it is smaller than the sum of its proper divisors (210843980306).

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

138006968868 is a wasteful number, since it uses less digits than its factorization.

138006968868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833526923 (or 3833526918 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 138006968868 in words is "one hundred thirty-eight billion, six million, nine hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3833526913 7667053826 11500580739 15334107652 23001161478 34501742217 46002322956 69003484434 138006968868