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3313135168 = 267173114033
BaseRepresentation
bin1100010101111010…
…0110111001000000
322112220020201000221
43011132212321000
523241130311133
61304431552424
7145050120130
oct30536467100
98486221027
103313135168
1114501a6542
1278568b714
1340a530c15
14236038ac0
15145ce9a2d
hexc57a6e40

3313135168 has 112 divisors (see below), whose sum is σ = 8212921344. Its totient is φ = 1293189120.

The previous prime is 3313135159. The next prime is 3313135181. The reversal of 3313135168 is 8615313133.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229080 + ... + 243112.

Almost surely, 23313135168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106460672).

3313135168 is an abundant number, since it is smaller than the sum of its proper divisors (4899786176).

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

3313135168 is a wasteful number, since it uses less digits than its factorization.

3313135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 14090 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 3313135168 is about 57559.8398885890. The cubic root of 3313135168 is about 1490.7782622532.

The spelling of 3313135168 in words is "three billion, three hundred thirteen million, one hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 136 217 224 238 248 272 434 448 476 496 527 544 868 952 992 1054 1088 1736 1904 1984 2108 3472 3689 3808 4216 6944 7378 7616 8432 13888 14033 14756 16864 28066 29512 33728 56132 59024 98231 112264 118048 196462 224528 236096 238561 392924 435023 449056 477122 785848 870046 898112 954244 1571696 1669927 1740092 1908488 3045161 3143392 3339854 3480184 3816976 6090322 6286784 6679708 6960368 7395391 7633952 12180644 13359416 13920736 14790782 15267904 24361288 26718832 27841472 29581564 48722576 51767737 53437664 59163128 97445152 103535474 106875328 118326256 194890304 207070948 236652512 414141896 473305024 828283792 1656567584 3313135168