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1377713313327 = 31324009367777
BaseRepresentation
bin10100000011000110000…
…111001101011000101111
311212201010012122210211010
4110003012013031120233
5140033024102011302
62532525053400303
7201352006641111
oct24030607153057
94781105583733
101377713313327
1149131528077a
121a3015499093
139cbc1568b00
144a97875d3b1
1525c867a216c
hex140c61cd62f

1377713313327 has 24 divisors (see below), whose sum is σ = 1989203508624. Its totient is φ = 847789922304.

The previous prime is 1377713313307. The next prime is 1377713313329. The reversal of 1377713313327 is 7233133177731.

It is not a de Polignac number, because 1377713313327 - 216 = 1377713247791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377713313329) 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, 20293263 + ... + 20361039.

It is an arithmetic number, because the mean of its divisors is an integer number (82883479526).

Almost surely, 21377713313327 is an apocalyptic number.

1377713313327 is a deficient number, since it is larger than the sum of its proper divisors (611490195297).

1377713313327 is a wasteful number, since it uses less digits than its factorization.

1377713313327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107899 (or 107886 counting only the distinct ones).

The product of its digits is 1166886, while the sum is 48.

The spelling of 1377713313327 in words is "one trillion, three hundred seventy-seven billion, seven hundred thirteen million, three hundred thirteen thousand, three hundred twenty-seven".

Divisors: 1 3 13 39 169 507 40093 67777 120279 203331 521209 881101 1563627 2643303 6775717 11454313 20327151 34362939 2717383261 8152149783 35325982393 105977947179 459237771109 1377713313327