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11013893761 = 132192732473
BaseRepresentation
bin10100100000111101…
…01010111010000001
31001102120120202220011
422100132222322001
5140024024100021
65020521544521
7536635360303
oct122036527201
931376522804
1011013893761
114742068442
122174645141
131066a80600
14766a89973
15446dd5de1
hex2907aae81

11013893761 has 36 divisors (see below), whose sum is σ = 12764607948. Its totient is φ = 9495802368.

The previous prime is 11013893719. The next prime is 11013893797. The reversal of 11013893761 is 16739831011.

It can be written as a sum of positive squares in 6 ways, for example, as 564965361 + 10448928400 = 23769^2 + 102220^2 .

It is not a de Polignac number, because 11013893761 - 213 = 11013885569 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11013893461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4452421 + ... + 4454893.

It is an arithmetic number, because the mean of its divisors is an integer number (354572443).

Almost surely, 211013893761 is an apocalyptic number.

It is an amenable number.

11013893761 is a deficient number, since it is larger than the sum of its proper divisors (1750714187).

11013893761 is a wasteful number, since it uses less digits than its factorization.

11013893761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 11013893761 in words is "eleven billion, thirteen million, eight hundred ninety-three thousand, seven hundred sixty-one".

Divisors: 1 13 19 73 169 247 361 949 1387 2473 3211 4693 12337 18031 26353 32149 46987 61009 180529 234403 342589 417937 610831 892753 2346877 3430051 4453657 7940803 11605789 30509401 44590663 65170969 150875257 579678619 847222597 11013893761