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13334694072 = 2337178744417
BaseRepresentation
bin11000110101100111…
…10100100010111000
31021102022120122102020
430122303310202320
5204302140202242
610043104434440
7651306013050
oct143263644270
937368518366
1013334694072
1157230a6027
122701918a20
13134682922b
14906db0560
15530a156ec
hex31acf48b8

13334694072 has 64 divisors (see below), whose sum is σ = 38121304320. Its totient is φ = 3807694848.

The previous prime is 13334694067. The next prime is 13334694097. The reversal of 13334694072 is 27049643331.

It is a happy number.

13334694072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 278008 + ... + 322424.

It is an arithmetic number, because the mean of its divisors is an integer number (595645380).

Almost surely, 213334694072 is an apocalyptic number.

13334694072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13334694072 is an abundant number, since it is smaller than the sum of its proper divisors (24786610248).

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

13334694072 is a wasteful number, since it uses less digits than its factorization.

13334694072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46220 (or 46216 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 13334694072 in words is "thirteen billion, three hundred thirty-four million, six hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1787 3574 5361 7148 10722 12509 14296 21444 25018 37527 42888 44417 50036 75054 88834 100072 133251 150108 177668 266502 300216 310919 355336 533004 621838 932757 1066008 1243676 1865514 2487352 3731028 7462056 79373179 158746358 238119537 317492716 476239074 555612253 634985432 952478148 1111224506 1666836759 1904956296 2222449012 3333673518 4444898024 6667347036 13334694072