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6443045136 = 2432114067579
BaseRepresentation
bin1100000000000100…
…10001000100010000
3121122000201121100100
412000002101010100
5101143404421021
62543200452400
7315443660103
oct60002210420
917560647310
106443045136
112806a271a0
1212b991a100
137b8acbc58
144519ba73a
1527a9a0626
hex180091110

6443045136 has 60 divisors (see below), whose sum is σ = 19670816880. Its totient is φ = 1952437440.

The previous prime is 6443045099. The next prime is 6443045143. The reversal of 6443045136 is 6315403446.

6443045136 is a `hidden beast` number, since 644 + 3 + 0 + 4 + 5 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6443045136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2032206 + ... + 2035373.

It is an arithmetic number, because the mean of its divisors is an integer number (327846948).

Almost surely, 26443045136 is an apocalyptic number.

6443045136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6443045136 is an abundant number, since it is smaller than the sum of its proper divisors (13227771744).

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

6443045136 is a wasteful number, since it uses less digits than its factorization.

6443045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067604 (or 4067595 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6443045136 is about 80268.5812506986. The cubic root of 6443045136 is about 1860.7886908471.

The spelling of 6443045136 in words is "six billion, four hundred forty-three million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 4067579 8135158 12202737 16270316 24405474 32540632 36608211 44743369 48810948 65081264 73216422 89486738 97621896 134230107 146432844 178973476 195243792 268460214 292865688 357946952 402690321 536920428 585731376 715893904 805380642 1073840856 1610761284 2147681712 3221522568 6443045136