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1157693472 = 253413174347
BaseRepresentation
bin100010100000001…
…0000000000100000
32222200101220220000
41011000100000200
54332332142342
6310513220000
740455142425
oct10500200040
92880356800
101157693472
11544540271
12283861600
13155b00b30
14ada79d4c
156b98044c
hex45010020

1157693472 has 480 divisors, whose sum is σ = 4057143552. Its totient is φ = 320495616.

The previous prime is 1157693461. The next prime is 1157693479. The reversal of 1157693472 is 2743967511.

1157693472 is a `hidden beast` number, since 1 + 1 + 576 + 9 + 3 + 4 + 72 = 666.

It is a super-2 number, since 2×11576934722 = 2680508350222829568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157693479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24631753 + ... + 24631799.

Almost surely, 21157693472 is an apocalyptic number.

1157693472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028571776).

1157693472 is an abundant number, since it is smaller than the sum of its proper divisors (2899450080).

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

1157693472 is a wasteful number, since it uses less digits than its factorization.

1157693472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 1157693472 is about 34024.8948859508. The cubic root of 1157693472 is about 1050.0207016327.

The spelling of 1157693472 in words is "one billion, one hundred fifty-seven million, six hundred ninety-three thousand, four hundred seventy-two".