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2957688063 = 3211217915173
BaseRepresentation
bin1011000001001010…
…1011110011111111
321122010102010021100
42300102223303333
522024132004223
61205253304143
7133202635161
oct26022536377
97563363240
102957688063
1112885a0900
126a6635053
133819bb5a5
14200b50931
151249d7043
hexb04abcff

2957688063 has 36 divisors (see below), whose sum is σ = 4722452280. Its totient is φ = 1782406560.

The previous prime is 2957688043. The next prime is 2957688121. The reversal of 2957688063 is 3608867592.

It is a happy number.

2957688063 is a `hidden beast` number, since 2 + 9 + 576 + 8 + 8 + 0 + 63 = 666.

It is not a de Polignac number, because 2957688063 - 216 = 2957622527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957688043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187345 + ... + 202517.

It is an arithmetic number, because the mean of its divisors is an integer number (131179230).

Almost surely, 22957688063 is an apocalyptic number.

2957688063 is a deficient number, since it is larger than the sum of its proper divisors (1764764217).

2957688063 is a wasteful number, since it uses less digits than its factorization.

2957688063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15366 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2957688063 is about 54384.6307609052. The cubic root of 2957688063 is about 1435.4369549975.

The spelling of 2957688063 in words is "two billion, nine hundred fifty-seven million, six hundred eighty-eight thousand, sixty-three".

Divisors: 1 3 9 11 33 99 121 179 363 537 1089 1611 1969 5907 15173 17721 21659 45519 64977 136557 166903 194931 500709 1502127 1835933 2715967 5507799 8147901 16523397 24443703 29875637 89626911 268880733 328632007 985896021 2957688063