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137518546842 = 23223332399961
BaseRepresentation
bin1000000000010010111…
…1100111111110011010
3111010221220101222221200
42000010233213332122
54223114221444332
6143101455415030
712635560234665
oct2000457477632
9433856358850
10137518546842
11533596a8706
122279a824476
13cc77757711
146927c486dc
15389ce5b17c
hex2004be7f9a

137518546842 has 48 divisors (see below), whose sum is σ = 311008171968. Its totient is φ = 43832859840.

The previous prime is 137518546831. The next prime is 137518546843. The reversal of 137518546842 is 248645815731.

It is a happy number.

137518546842 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 18 + 546 + 84 + 2 = 666.

137518546842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1375185468422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137518546843) by changing a digit.

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, 1325742 + ... + 1425702.

It is an arithmetic number, because the mean of its divisors is an integer number (6479336916).

Almost surely, 2137518546842 is an apocalyptic number.

137518546842 is an abundant number, since it is smaller than the sum of its proper divisors (173489625126).

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

137518546842 is a wasteful number, since it uses less digits than its factorization.

137518546842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103315 (or 103312 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 137518546842 in words is "one hundred thirty-seven billion, five hundred eighteen million, five hundred forty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 3323 6646 9969 19938 29907 59814 76429 99961 152858 199922 229287 299883 458574 599766 687861 899649 1375722 1799298 2299103 4598206 6897309 13794618 20691927 41383854 332170403 664340806 996511209 1993022418 2989533627 5979067254 7639919269 15279838538 22919757807 45839515614 68759273421 137518546842