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12729074652 = 2232759856139
BaseRepresentation
bin10111101101011011…
…00100001111011100
31012212002222222202100
423312231210033130
5202032120342102
65503032125100
7630303230550
oct136655441734
935762888670
1012729074652
11544225a208
122572b36790
13127b213948
1488a7a3860
154e7787a1c
hex2f6b643dc

12729074652 has 72 divisors (see below), whose sum is σ = 37396195200. Its totient is φ = 3575232288.

The previous prime is 12729074651. The next prime is 12729074669. The reversal of 12729074652 is 25647092721.

It is a super-2 number, since 2×127290746522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12729074598 and 12729074607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12729074651) 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, 413202 + ... + 442937.

It is an arithmetic number, because the mean of its divisors is an integer number (519391600).

Almost surely, 212729074652 is an apocalyptic number.

12729074652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12729074652 is an abundant number, since it is smaller than the sum of its proper divisors (24667120548).

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

12729074652 is a wasteful number, since it uses less digits than its factorization.

12729074652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856215 (or 856210 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12729074652 in words is "twelve billion, seven hundred twenty-nine million, seventy-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 856139 1712278 2568417 3424556 5136834 5992973 7705251 10273668 11985946 15410502 17978919 23971892 30821004 35957838 50512201 53936757 71915676 101024402 107873514 151536603 202048804 215747028 303073206 353585407 454609809 606146412 707170814 909219618 1060756221 1414341628 1818439236 2121512442 3182268663 4243024884 6364537326 12729074652