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1377323055657 = 3213737312972309
BaseRepresentation
bin10100000010101110110…
…110011111101000101001
311212200010000022122221100
4110002232312133220221
5140031224200240112
62532422233032013
7201336230543463
oct24025666375051
94780100278840
101377323055657
11491134a5a37a
121a2b26855609
139cb5b758a03
144a93c9b3133
1525c623b52dc
hex140aed9fa29

1377323055657 has 48 divisors (see below), whose sum is σ = 2011781051280. Its totient is φ = 907975028736.

The previous prime is 1377323055617. The next prime is 1377323055673. The reversal of 1377323055657 is 7565503237731.

1377323055657 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 3 + 2 + 30 + 556 + 57 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 456828643881 + 920494411776 = 675891^2 + 959424^2 .

It is not a de Polignac number, because 1377323055657 - 26 = 1377323055593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1377323055617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596500819 + ... + 596503127.

It is an arithmetic number, because the mean of its divisors is an integer number (41912105235).

Almost surely, 21377323055657 is an apocalyptic number.

It is an amenable number.

1377323055657 is a deficient number, since it is larger than the sum of its proper divisors (634457995623).

1377323055657 is a wasteful number, since it uses less digits than its factorization.

1377323055657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 54.

The spelling of 1377323055657 in words is "one trillion, three hundred seventy-seven billion, three hundred twenty-three million, fifty-five thousand, six hundred fifty-seven".

Divisors: 1 3 9 137 373 411 1119 1233 1297 2309 3357 3891 6927 11673 20781 51101 153303 177689 316333 459909 483781 533067 861257 948999 1451343 1599201 2583771 2846997 2994773 4354029 7751313 8984319 26952957 66277997 117992209 198833991 353976627 410283901 596501973 1061929881 1117050329 1230851703 3351150987 3692555109 10053452961 153035895073 459107685219 1377323055657