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13431525345 = 325747907229
BaseRepresentation
bin11001000001001010…
…01100111111100001
31021200001210011221200
430200211030333201
5210001432302340
610100444111413
7653563040010
oct144045147741
937601704850
1013431525345
115772822877
12272a235569
131360900644
14915bb8a77
15539291330
hex32094cfe1

13431525345 has 48 divisors (see below), whose sum is σ = 27173352960. Its totient is φ = 6009478272.

The previous prime is 13431525329. The next prime is 13431525397. The reversal of 13431525345 is 54352513431.

It is not a de Polignac number, because 13431525345 - 24 = 13431525329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438810 + ... + 468419.

It is an arithmetic number, because the mean of its divisors is an integer number (566111520).

Almost surely, 213431525345 is an apocalyptic number.

13431525345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13431525345 is an abundant number, since it is smaller than the sum of its proper divisors (13741827615).

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

13431525345 is a wasteful number, since it uses less digits than its factorization.

13431525345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907294 (or 907291 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 13431525345 in words is "thirteen billion, four hundred thirty-one million, five hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 14805 907229 2721687 4536145 6350603 8165061 13608435 19051809 31753015 40825305 42639763 57155427 95259045 127919289 213198815 285777135 298478341 383757867 639596445 895435023 1492391705 1918789335 2686305069 4477175115 13431525345