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12564045240 = 2335193542489
BaseRepresentation
bin10111011001110000…
…00001110110111000
31012102121110121221220
423230320001312320
5201212343421430
65434415032040
7623230423335
oct135470016670
935377417856
1012564045240
11536809216a
12252780b620
131252c81bc6
148728c598c
154d803a110
hex2ece01db8

12564045240 has 64 divisors (see below), whose sum is σ = 37887501600. Its totient is φ = 3333046272.

The previous prime is 12564045239. The next prime is 12564045271. The reversal of 12564045240 is 4254046521.

12564045240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248085 + ... + 294404.

Almost surely, 212564045240 is an apocalyptic number.

12564045240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12564045240 is an abundant number, since it is smaller than the sum of its proper divisors (25323456360).

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

12564045240 is a wasteful number, since it uses less digits than its factorization.

12564045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542696 (or 542692 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 12564045240 in words is "twelve billion, five hundred sixty-four million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 11580 23160 542489 1084978 1627467 2169956 2712445 3254934 4339912 5424890 6509868 8137335 10849780 13019736 16274670 21699560 32549340 65098680 104700377 209400754 314101131 418801508 523501885 628202262 837603016 1047003770 1256404524 1570505655 2094007540 2512809048 3141011310 4188015080 6282022620 12564045240