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12933735696 = 243374277029
BaseRepresentation
bin11000000101110100…
…10010010100010000
31020101101002211221000
430002322102110100
5202442014020241
65535222502000
7635336640150
oct140272222420
936341084830
1012933735696
115537836072
12260b594900
1312b174065b
148a9a3a760
1550a712eb6
hex302e92510

12933735696 has 80 divisors (see below), whose sum is σ = 42428137600. Its totient is φ = 3695352192.

The previous prime is 12933735691. The next prime is 12933735701. The reversal of 12933735696 is 69653733921.

12933735696 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 3 + 73 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12933735691) and next prime (12933735701).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12933735691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135491 + ... + 2141538.

It is an arithmetic number, because the mean of its divisors is an integer number (530351720).

Almost surely, 212933735696 is an apocalyptic number.

12933735696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12933735696 is an abundant number, since it is smaller than the sum of its proper divisors (29494401904).

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

12933735696 is a wasteful number, since it uses less digits than its factorization.

12933735696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277053 (or 4277041 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 54.

The spelling of 12933735696 in words is "twelve billion, nine hundred thirty-three million, seven hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4277029 8554058 12831087 17108116 25662174 29939203 34216232 38493261 51324348 59878406 68432464 76986522 89817609 102648696 115479783 119756812 153973044 179635218 205297392 230959566 239513624 269452827 307946088 359270436 461919132 479027248 538905654 615892176 718540872 808358481 923838264 1077811308 1437081744 1616716962 1847676528 2155622616 3233433924 4311245232 6466867848 12933735696