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12960648530000 = 24541776239109
BaseRepresentation
bin1011110010011010001011…
…0110100000100001010000
31200220000200212202201200122
42330212202312200201100
53144321402010430000
643322012330005412
72505242644542533
oct274464266404120
950800625681618
1012960648530000
114147642236966
121553a3ab76868
13730251093a22
1432b427a34a1a
15177209aa7085
hexbc9a2da0850

12960648530000 has 100 divisors (see below), whose sum is σ = 33224851659780. Its totient is φ = 4879302912000.

The previous prime is 12960648529999. The next prime is 12960648530047. The reversal of 12960648530000 is 3584606921.

It can be written as a sum of positive squares in 10 ways, for example, as 6164971180096 + 6795677349904 = 2482936^2 + 2606852^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37949555 + ... + 38289554.

Almost surely, 212960648530000 is an apocalyptic number.

12960648530000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12960648530000 is an abundant number, since it is smaller than the sum of its proper divisors (20264203129780).

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

12960648530000 is an equidigital number, since it uses as much as digits as its factorization.

12960648530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76239154 (or 76239133 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 12960648530000 in words is "twelve trillion, nine hundred sixty billion, six hundred forty-eight million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 76239109 152478218 304956436 381195545 609912872 762391090 1219825744 1296064853 1524782180 1905977725 2592129706 3049564360 3811955450 5184259412 6099128720 6480324265 7623910900 9529888625 10368518824 12960648530 15247821800 19059777250 20737037648 25921297060 30495643600 32401621325 38119554500 47649443125 51842594120 64803242650 76239109000 95298886250 103685188240 129606485300 152478218000 162008106625 190597772500 259212970600 324016213250 381195545000 518425941200 648032426500 762391090000 810040533125 1296064853000 1620081066250 2592129706000 3240162132500 6480324265000 12960648530000