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12731213664 = 2533131133477
BaseRepresentation
bin10111101101101011…
…01110011101100000
31012212021000122221000
423312311232131200
5202033142314124
65503150032000
7630330350001
oct136665563540
935767018830
1012731213664
115443490294
1225737a8600
13127b7b2430
1488ab9d1a8
154e7a5b6c9
hex2f6d6e760

12731213664 has 96 divisors (see below), whose sum is σ = 39989103840. Its totient is φ = 3917293056.

The previous prime is 12731213639. The next prime is 12731213669. The reversal of 12731213664 is 46631213721.

12731213664 is a `hidden beast` number, since 1 + 273 + 1 + 21 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12731213669) 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, 555507 + ... + 577970.

It is an arithmetic number, because the mean of its divisors is an integer number (416553165).

Almost surely, 212731213664 is an apocalyptic number.

It is an amenable number.

12731213664 is an abundant number, since it is smaller than the sum of its proper divisors (27257890176).

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

12731213664 is a wasteful number, since it uses less digits than its factorization.

12731213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133509 (or 1133495 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 12731213664 in words is "twelve billion, seven hundred thirty-one million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1133477 2266954 3400431 4533908 6800862 9067816 10201293 13601724 14735201 18135632 20402586 27203448 29470402 30603879 36271264 40805172 44205603 54406896 58940804 61207758 81610344 88411206 108813792 117881608 122415516 132616809 163220688 176822412 235763216 244831032 265233618 326441376 353644824 397850427 471526432 489662064 530467236 707289648 795700854 979324128 1060934472 1414579296 1591401708 2121868944 3182803416 4243737888 6365606832 12731213664