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1337779993 = 11211397841
BaseRepresentation
bin100111110111100…
…1110011100011001
310110020021021011011
41033233032130121
510214432424433
6340425133521
745102641134
oct11757163431
93406237134
101337779993
11627161a00
1231402a2a1
131842051c4
14c995721b
157c6a43cd
hex4fbce719

1337779993 has 12 divisors (see below), whose sum is σ = 1483480404. Its totient is φ = 1205388800.

The previous prime is 1337779967. The next prime is 1337780011. The reversal of 1337779993 is 3999777331.

It can be written as a sum of positive squares in 2 ways, for example, as 322274304 + 1015505689 = 17952^2 + 31867^2 .

It is not a de Polignac number, because 1337779993 - 29 = 1337779481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1337779903) 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 11 ways as a sum of consecutive naturals, for example, 35248 + ... + 62593.

It is an arithmetic number, because the mean of its divisors is an integer number (123623367).

Almost surely, 21337779993 is an apocalyptic number.

It is an amenable number.

1337779993 is a deficient number, since it is larger than the sum of its proper divisors (145700411).

1337779993 is a wasteful number, since it uses less digits than its factorization.

1337779993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97976 (or 97965 counting only the distinct ones).

The product of its digits is 6751269, while the sum is 58.

The square root of 1337779993 is about 36575.6748809916. The cubic root of 1337779993 is about 1101.8646042000.

The spelling of 1337779993 in words is "one billion, three hundred thirty-seven million, seven hundred seventy-nine thousand, nine hundred ninety-three".

Divisors: 1 11 113 121 1243 13673 97841 1076251 11056033 11838761 121616363 1337779993