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13920527232 = 273219635989
BaseRepresentation
bin11001111011011101…
…00110001110000000
31022221010221001102200
430331232212032000
5212002123332412
610221153113200
71001651346333
oct147556461600
938833831380
1013920527232
1159a3858167
122845b58800
13140b004781
14960b0a61a
155671859dc
hex33dba6380

13920527232 has 96 divisors (see below), whose sum is σ = 42166137000. Its totient is φ = 4395949056.

The previous prime is 13920527207. The next prime is 13920527237. The reversal of 13920527232 is 23272502931.

It is a happy number.

13920527232 is a `hidden beast` number, since 13 + 92 + 0 + 527 + 2 + 32 = 666.

13920527232 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 (96).

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 (13920527237) 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 11 ways as a sum of consecutive naturals, for example, 296107 + ... + 339882.

Almost surely, 213920527232 is an apocalyptic number.

13920527232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13920527232 is an abundant number, since it is smaller than the sum of its proper divisors (28245609768).

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

13920527232 is a wasteful number, since it uses less digits than its factorization.

13920527232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636028 (or 636013 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13920527232 in words is "thirteen billion, nine hundred twenty million, five hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 635989 1271978 1907967 2543956 3815934 5087912 5723901 7631868 10175824 11447802 12083791 15263736 20351648 22895604 24167582 30527472 36251373 40703296 45791208 48335164 61054944 72502746 81406592 91582416 96670328 108754119 122109888 145005492 183164832 193340656 217508238 244219776 290010984 366329664 386681312 435016476 580021968 732659328 773362624 870032952 1160043936 1546725248 1740065904 2320087872 3480131808 4640175744 6960263616 13920527232