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13965907640 = 2352397331993
BaseRepresentation
bin11010000000110111…
…01101011010111000
31100001022022121122112
431000123231122320
5212100233021030
610225453511452
71003042153616
oct150033553270
940038277575
1013965907640
115a17433133
1228591a2588
131417533299
14966b606b6
1556b14ba95
hex3406ed6b8

13965907640 has 64 divisors (see below), whose sum is σ = 31613673600. Its totient is φ = 5552612352.

The previous prime is 13965907577. The next prime is 13965907699. The reversal of 13965907640 is 4670956931.

13965907640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7006484 + ... + 7008476.

It is an arithmetic number, because the mean of its divisors is an integer number (493963650).

Almost surely, 213965907640 is an apocalyptic number.

13965907640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13965907640 is an abundant number, since it is smaller than the sum of its proper divisors (17647765960).

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

13965907640 is a wasteful number, since it uses less digits than its factorization.

13965907640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 13965907640 in words is "thirteen billion, nine hundred sixty-five million, nine hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 239 478 733 956 1195 1466 1912 1993 2390 2932 3665 3986 4780 5864 7330 7972 9560 9965 14660 15944 19930 29320 39860 79720 175187 350374 476327 700748 875935 952654 1401496 1460869 1751870 1905308 2381635 2921738 3503740 3810616 4763270 5843476 7007480 7304345 9526540 11686952 14608690 19053080 29217380 58434760 349147691 698295382 1396590764 1745738455 2793181528 3491476910 6982953820 13965907640