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13719027432 = 23311231152393
BaseRepresentation
bin11001100011011011…
…11011111011101000
31022102002202210200010
430301231323323220
5211044032334212
610145154211520
7663653544345
oct146155737350
938362683603
1013719027432
115900040400
1227aa583ba0
1313a8343916
149420577cc
1555463203c
hex331b7bee8

13719027432 has 96 divisors (see below), whose sum is σ = 38915331840. Its totient is φ = 4023148800.

The previous prime is 13719027431. The next prime is 13719027437. The reversal of 13719027432 is 23472091731.

It is not an unprimeable number, because it can be changed into a prime (13719027431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13828 + ... + 166220.

It is an arithmetic number, because the mean of its divisors is an integer number (405368040).

Almost surely, 213719027432 is an apocalyptic number.

13719027432 is a gapful number since it is divisible by the number (12) 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 13719027432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457665920).

13719027432 is an abundant number, since it is smaller than the sum of its proper divisors (25196304408).

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

13719027432 is a wasteful number, since it uses less digits than its factorization.

13719027432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152455 (or 152440 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 13719027432 in words is "thirteen billion, seven hundred nineteen million, twenty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 968 1023 1364 1452 2046 2728 2904 3751 4092 7502 8184 11253 15004 22506 30008 45012 90024 152393 304786 457179 609572 914358 1219144 1676323 1828716 3352646 3657432 4724183 5028969 6705292 9448366 10057938 13410584 14172549 18439553 18896732 20115876 28345098 36879106 37793464 40231752 51966013 55318659 56690196 73758212 103932026 110637318 113380392 147516424 155898039 207864052 221274636 311796078 415728104 442549272 571626143 623592156 1143252286 1247184312 1714878429 2286504572 3429756858 4573009144 6859513716 13719027432