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12573093064 = 237338911779
BaseRepresentation
bin10111011010110101…
…00010110011001000
31012110020111022020111
423231122202303020
5201222202434224
65435341004104
7623400346000
oct135532426310
935406438214
1012573093064
115372201a04
12252a853634
131254acc24c
14873b9d000
154d8c25d94
hex2ed6a2cc8

12573093064 has 64 divisors (see below), whose sum is σ = 27565200000. Its totient is φ = 5374160064.

The previous prime is 12573093011. The next prime is 12573093077. The reversal of 12573093064 is 46039037521.

It is a happy number.

12573093064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1061527 + ... + 1073305.

It is an arithmetic number, because the mean of its divisors is an integer number (430706250).

Almost surely, 212573093064 is an apocalyptic number.

12573093064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12573093064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782600000).

12573093064 is an abundant number, since it is smaller than the sum of its proper divisors (14992106936).

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

12573093064 is a wasteful number, since it uses less digits than its factorization.

12573093064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 12573093064 in words is "twelve billion, five hundred seventy-three million, ninety-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 389 392 686 778 1372 1556 2723 2744 3112 5446 10892 11779 19061 21784 23558 38122 47116 76244 82453 94232 133427 152488 164906 266854 329812 533708 577171 659624 1067416 1154342 2308684 4040197 4582031 4617368 8080394 9164062 16160788 18328124 32074217 32321576 36656248 64148434 128296868 224519519 256593736 449039038 898078076 1571636633 1796156152 3143273266 6286546532 12573093064