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13381303392 = 253246462859
BaseRepresentation
bin11000111011001011…
…00111110001100000
31021112120021122101100
430131211213301200
5204401103202032
610051451434400
7652413126222
oct143545476140
937476248340
1013381303392
115747440326
122715455a00
131353398202
1490d264412
15534b7097c
hex31d967c60

13381303392 has 36 divisors (see below), whose sum is σ = 38053082340. Its totient is φ = 4460434368.

The previous prime is 13381303391. The next prime is 13381303447. The reversal of 13381303392 is 29330318331.

13381303392 is a `hidden beast` number, since 133 + 8 + 130 + 3 + 392 = 666.

13381303392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381303391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23231142 + ... + 23231717.

It is an arithmetic number, because the mean of its divisors is an integer number (1057030065).

Almost surely, 213381303392 is an apocalyptic number.

13381303392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13381303392 is an abundant number, since it is smaller than the sum of its proper divisors (24671778948).

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

13381303392 is a wasteful number, since it uses less digits than its factorization.

13381303392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46462875 (or 46462864 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13381303392 in words is "thirteen billion, three hundred eighty-one million, three hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 46462859 92925718 139388577 185851436 278777154 371702872 418165731 557554308 743405744 836331462 1115108616 1486811488 1672662924 2230217232 3345325848 4460434464 6690651696 13381303392