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13085724060 = 2232572698467
BaseRepresentation
bin11000010111111100…
…00100110110011100
31020202222002122202200
430023332010312130
5203244421132220
610002252251500
7642163551003
oct141376046634
936688078680
1013085724060
115605606192
122652470b90
1313070875b6
148c1cc1c3a
15518c36890
hex30bf84d9c

13085724060 has 36 divisors (see below), whose sum is σ = 39693363528. Its totient is φ = 3489526368.

The previous prime is 13085724031. The next prime is 13085724073. The reversal of 13085724060 is 6042758031.

13085724060 is a `hidden beast` number, since 1 + 308 + 57 + 240 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36349054 + ... + 36349413.

Almost surely, 213085724060 is an apocalyptic number.

13085724060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13085724060 is an abundant number, since it is smaller than the sum of its proper divisors (26607639468).

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

13085724060 is a wasteful number, since it uses less digits than its factorization.

13085724060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72698482 (or 72698477 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13085724060 in words is "thirteen billion, eighty-five million, seven hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72698467 145396934 218095401 290793868 363492335 436190802 654286203 726984670 872381604 1090477005 1308572406 1453969340 2180954010 2617144812 3271431015 4361908020 6542862030 13085724060