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136513054141644 = 223831243711020447
BaseRepresentation
bin11111000010100001101100…
…000110010110110011001100
3122220100112001110102122202010
4133002201230012112303030
5120343112213330013034
61202201121543501220
740516512512364315
oct3702415406266314
9586315043378663
10136513054141644
113a5519521a1994
1213389189757810
135b2318340cccb
14259d3a4bd160c
1510bb04020d3e9
hex7c286c196ccc

136513054141644 has 48 divisors (see below), whose sum is σ = 322394125390848. Its totient is φ = 44952487397568.

The previous prime is 136513054141637. The next prime is 136513054141687. The reversal of 136513054141644 is 446141450315631.

It is a happy number.

136513054141644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136513054141593 and 136513054141602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6877029 + ... + 17897475.

It is an arithmetic number, because the mean of its divisors is an integer number (6716544278976).

Almost surely, 2136513054141644 is an apocalyptic number.

It is an amenable number.

136513054141644 is an abundant number, since it is smaller than the sum of its proper divisors (185881071249204).

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

136513054141644 is a wasteful number, since it uses less digits than its factorization.

136513054141644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032974 (or 11032972 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 136513054141644 in words is "one hundred thirty-six trillion, five hundred thirteen billion, fifty-four million, one hundred forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 12437 24874 37311 49748 74622 149244 1032271 2064542 3096813 4129084 6193626 11020447 12387252 22040894 33061341 44081788 66122682 132245364 914697101 1829394202 2744091303 3658788404 5488182606 10976365212 137061299339 274122598678 411183898017 548245197356 822367796034 1644735592068 11376087845137 22752175690274 34128263535411 45504351380548 68256527070822 136513054141644