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12513379640 = 2354715494297
BaseRepresentation
bin10111010011101101…
…10000010100111000
31012022002010112211012
423221312300110320
5201111411122030
65425405053052
7622043654246
oct135166602470
935262115735
1012513379640
115341527373
122512857188
131245622868
14869c97796
154d387d095
hex2e9db0538

12513379640 has 64 divisors (see below), whose sum is σ = 28779408000. Its totient is φ = 4894553088.

The previous prime is 12513379597. The next prime is 12513379673. The reversal of 12513379640 is 4697331521.

12513379640 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, 2909972 + ... + 2914268.

It is an arithmetic number, because the mean of its divisors is an integer number (449678250).

Almost surely, 212513379640 is an apocalyptic number.

12513379640 is a gapful number since it is divisible by the number (10) 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 12513379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389704000).

12513379640 is an abundant number, since it is smaller than the sum of its proper divisors (16266028360).

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

12513379640 is a wasteful number, since it uses less digits than its factorization.

12513379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 12513379640 in words is "twelve billion, five hundred thirteen million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1549 1880 3098 4297 6196 7745 8594 12392 15490 17188 21485 30980 34376 42970 61960 72803 85940 145606 171880 201959 291212 364015 403918 582424 728030 807836 1009795 1456060 1615672 2019590 2912120 4039180 6656053 8078360 13312106 26624212 33280265 53248424 66560530 133121060 266242120 312834491 625668982 1251337964 1564172455 2502675928 3128344910 6256689820 12513379640