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2165045792 = 257213106213
BaseRepresentation
bin1000000100001011…
…1111101000100000
312120212220201111012
42001002333220200
513413222431132
6554500240052
7104436404600
oct20102775040
95525821435
102165045792
11a11125a48
125050a0028
132867136b0
1416777cc00
15ca1150b2
hex810bfa20

2165045792 has 72 divisors (see below), whose sum is σ = 5339802636. Its totient is φ = 856493568.

The previous prime is 2165045789. The next prime is 2165045803. The reversal of 2165045792 is 2975405612.

It can be written as a sum of positive squares in 2 ways, for example, as 1866585616 + 298460176 = 43204^2 + 17276^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32723 + ... + 73490.

Almost surely, 22165045792 is an apocalyptic number.

It is an amenable number.

2165045792 is an abundant number, since it is smaller than the sum of its proper divisors (3174756844).

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

2165045792 is a wasteful number, since it uses less digits than its factorization.

2165045792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106250 (or 106235 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 2165045792 is about 46530.0525682059. The cubic root of 2165045792 is about 1293.6665895271. Note that the first 3 decimals are identical.

The spelling of 2165045792 in words is "two billion, one hundred sixty-five million, forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 106213 212426 424852 743491 849704 1380769 1486982 1699408 2761538 2973964 3398816 5204437 5523076 5947928 9665383 10408874 11046152 11895856 19330766 20817748 22092304 23791712 38661532 41635496 44184608 67657681 77323064 83270992 135315362 154646128 166541984 270630724 309292256 541261448 1082522896 2165045792