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1157095168 = 2810941467
BaseRepresentation
bin100010011110111…
…1101111100000000
32222122021112011121
41010331331330000
54332204021133
6310452322024
740450101205
oct10475757400
92878245147
101157095168
115441717a9
12283613314
131559516c8
14ad961cac
156b8b302d
hex44f7df00

1157095168 has 36 divisors (see below), whose sum is σ = 2330916280. Its totient is φ = 573225984.

The previous prime is 1157095151. The next prime is 1157095169. The reversal of 1157095168 is 8615907511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157095169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7171 + ... + 48637.

Almost surely, 21157095168 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 1157095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165458140).

1157095168 is an abundant number, since it is smaller than the sum of its proper divisors (1173821112).

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

1157095168 is an equidigital number, since it uses as much as digits as its factorization.

1157095168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41592 (or 41578 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 43.

The square root of 1157095168 is about 34016.1015990957. The cubic root of 1157095168 is about 1049.8397844737.

The spelling of 1157095168 in words is "one billion, one hundred fifty-seven million, ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 6976 13952 27904 41467 82934 165868 331736 663472 1326944 2653888 4519903 5307776 9039806 10615552 18079612 36159224 72318448 144636896 289273792 578547584 1157095168