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13904645776 = 2472927115797
BaseRepresentation
bin11001111001100100…
…00000111010010000
31022220001001012011121
430330302000322100
5211434042131101
610215424452024
71001366352610
oct147462007220
938801035147
1013904645776
1159958a019a
12284077a014
131407933b68
1495c974a40
15565a9a0a1
hex33cc80e90

13904645776 has 80 divisors (see below), whose sum is σ = 31970096640. Its totient is φ = 5732052480.

The previous prime is 13904645773. The next prime is 13904645813. The reversal of 13904645776 is 67754640931.

It is not an unprimeable number, because it can be changed into a prime (13904645773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872310 + ... + 888106.

It is an arithmetic number, because the mean of its divisors is an integer number (399626208).

Almost surely, 213904645776 is an apocalyptic number.

13904645776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13904645776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985048320).

13904645776 is an abundant number, since it is smaller than the sum of its proper divisors (18065450864).

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

13904645776 is a wasteful number, since it uses less digits than its factorization.

13904645776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 13904645776 in words is "thirteen billion, nine hundred four million, six hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 271 406 464 542 812 1084 1624 1897 2168 3248 3794 4336 7588 7859 15176 15718 15797 30352 31436 31594 55013 62872 63188 110026 110579 125744 126376 220052 221158 252752 440104 442316 458113 880208 884632 916226 1769264 1832452 3206791 3664904 4280987 6413582 7329808 8561974 12827164 17123948 25654328 29966909 34247896 51308656 59933818 68495792 119867636 124148623 239735272 248297246 479470544 496594492 869040361 993188984 1738080722 1986377968 3476161444 6952322888 13904645776