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12683598993 = 3213412839343
BaseRepresentation
bin10111101000000000…
…00101110010010001
31012201221102120212200
423310000011302101
5201434000131433
65454325313413
7626211545502
oct136400056221
935657376780
1012683598993
11541961971a
12255b865869
131271980980
14884726ba9
154e37a3613
hex2f4005c91

12683598993 has 48 divisors (see below), whose sum is σ = 20284852224. Its totient is φ = 7587198720.

The previous prime is 12683598989. The next prime is 12683598997. The reversal of 12683598993 is 39989538621.

It is an interprime number because it is at equal distance from previous prime (12683598989) and next prime (12683598997).

It is not a de Polignac number, because 12683598993 - 22 = 12683598989 is a prime.

It is a super-2 number, since 2×126835989932 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12683598993.

It is not an unprimeable number, because it can be changed into a prime (12683598997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1352880 + ... + 1362222.

It is an arithmetic number, because the mean of its divisors is an integer number (422601088).

Almost surely, 212683598993 is an apocalyptic number.

12683598993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12683598993 is a deficient number, since it is larger than the sum of its proper divisors (7601253231).

12683598993 is a wasteful number, since it uses less digits than its factorization.

12683598993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9686 (or 9683 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 12683598993 in words is "twelve billion, six hundred eighty-three million, five hundred ninety-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 39 41 117 123 283 369 533 849 1599 2547 3679 4797 9343 11037 11603 28029 33111 34809 84087 104427 121459 150839 364377 383063 452517 1093131 1149189 1357551 2644069 3447567 4979819 7932207 14939457 23796621 34372897 44818371 103118691 108406829 309356073 325220487 975661461 1409288777 4227866331 12683598993