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136238066832080 = 24529206237284737
BaseRepresentation
bin11110111110100001100101…
…100101000001001011010000
3122212101020021010021221211002
4132332201211211001023100
5120324111030102111310
61201430523123241132
740460606204666453
oct3676414545011320
9585336233257732
10136238066832080
113a45627000a184
1213343a24b191a8
135b0326b63bc55
14258dd599bb49a
1510b3ce88cbda5
hex7be8659412d0

136238066832080 has 80 divisors (see below), whose sum is σ = 327678779693520. Its totient is φ = 52615641071616.

The previous prime is 136238066832073. The next prime is 136238066832107. The reversal of 136238066832080 is 80238660832631.

It can be written as a sum of positive squares in 8 ways, for example, as 27711843753616 + 108526223078464 = 5264204^2 + 10417592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 478327472 + ... + 478612208.

It is an arithmetic number, because the mean of its divisors is an integer number (4095984746169).

Almost surely, 2136238066832080 is an apocalyptic number.

136238066832080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136238066832080 is an abundant number, since it is smaller than the sum of its proper divisors (191440712861440).

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

136238066832080 is a wasteful number, since it uses less digits than its factorization.

136238066832080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491016 (or 491010 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 56.

The spelling of 136238066832080 in words is "one hundred thirty-six trillion, two hundred thirty-eight billion, sixty-six million, eight hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 206237 284737 412474 569474 824948 1031185 1138948 1423685 1649896 2062370 2277896 2847370 3299792 4124740 4555792 5694740 5980873 8249480 8257373 11389480 11961746 16498960 16514746 22778960 23923492 29904365 33029492 41286865 47846984 59808730 66058984 82573730 95693968 119617460 132117968 165147460 239234920 330294920 478469840 660589840 58723304669 117446609338 234893218676 293616523345 469786437352 587233046690 939572874704 1174466093380 1702975835401 2348932186760 3405951670802 4697864373520 6811903341604 8514879177005 13623806683208 17029758354010 27247613366416 34059516708020 68119033416040 136238066832080