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12936016845 = 3352314927961
BaseRepresentation
bin11000000110000101…
…11111001111001101
31020101112101202002000
430003002333033031
5202443110014340
65535343422513
7635365220553
oct140302771715
936345352060
1012936016845
115539053a14
1226102b4a39
1312b205ba4b
148aa071bd3
1550aa13d30
hex3030bf3cd

12936016845 has 64 divisors (see below), whose sum is σ = 24159168000. Its totient is φ = 6554718720.

The previous prime is 12936016823. The next prime is 12936016859. The reversal of 12936016845 is 54861063921.

12936016845 is a `hidden beast` number, since 129 + 360 + 168 + 4 + 5 = 666.

It is not a de Polignac number, because 12936016845 - 26 = 12936016781 is a prime.

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 12936016845.

It is a congruent number.

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, 448665 + ... + 476625.

It is an arithmetic number, because the mean of its divisors is an integer number (377487000).

Almost surely, 212936016845 is an apocalyptic number.

12936016845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12936016845 is a deficient number, since it is larger than the sum of its proper divisors (11223151155).

12936016845 is a wasteful number, since it uses less digits than its factorization.

12936016845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28147 (or 28141 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12936016845 in words is "twelve billion, nine hundred thirty-six million, sixteen thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 149 207 345 447 621 745 1035 1341 2235 3105 3427 4023 6705 10281 17135 20115 27961 30843 51405 83883 92529 139805 154215 251649 419415 462645 643103 754947 1258245 1929309 3215515 3774735 4166189 5787927 9646545 12498567 17363781 20830945 28939635 37495701 62492835 86818905 95822347 112487103 187478505 287467041 479111735 562435515 862401123 1437335205 2587203369 4312005615 12936016845