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12818240955 = 3351371102871
BaseRepresentation
bin10111111000000011…
…01101010110111011
31020002022210002221000
423330001231112323
5202222432202310
65515535220043
7632435151612
oct137401552673
936068702830
1012818240955
115488621173
122598977623
131293833280
14898574879
155004ec4c0
hex2fc06d5bb

12818240955 has 64 divisors (see below), whose sum is σ = 24886794240. Its totient is φ = 6221577600.

The previous prime is 12818240909. The next prime is 12818240971. The reversal of 12818240955 is 55904281821.

12818240955 is a `hidden beast` number, since 12 + 8 + 182 + 409 + 55 = 666.

It is not a de Polignac number, because 12818240955 - 212 = 12818236859 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12818240955.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73170 + ... + 176040.

It is an arithmetic number, because the mean of its divisors is an integer number (388856160).

Almost surely, 212818240955 is an apocalyptic number.

12818240955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12818240955 is a deficient number, since it is larger than the sum of its proper divisors (12068553285).

12818240955 is a wasteful number, since it uses less digits than its factorization.

12818240955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102969 (or 102963 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 12818240955 in words is "twelve billion, eight hundred eighteen million, two hundred forty thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 71 117 135 195 213 351 355 585 639 923 1065 1755 1917 2769 3195 4615 8307 9585 13845 24921 41535 102871 124605 308613 514355 925839 1337323 1543065 2777517 4011969 4629195 6686615 7303841 12035907 13887585 20059845 21911523 36107721 36519205 60179535 65734569 94949933 109557615 180538605 197203707 284849799 328672845 474749665 854549397 986018535 1424248995 2563648191 4272746985 12818240955