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2117057152 = 2772337541
BaseRepresentation
bin111111000101111…
…1011101010000000
312110112121122110011
41332023323222000
513313431312102
6550023514304
7103314455200
oct17613735200
95415548404
102117057152
11997029411
124b0bb8994
132797b0952
1416124a400
15c5cd62d7
hex7e2fba80

2117057152 has 48 divisors (see below), whose sum is σ = 4906172970. Its totient is φ = 907307520.

The previous prime is 2117057119. The next prime is 2117057191. The reversal of 2117057152 is 2517507112.

It can be written as a sum of positive squares in only one way, i.e., 1666598976 + 450458176 = 40824^2 + 21224^2 .

It is a super-2 number, since 2×21170571522 = 8963861969668702208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162499 + ... + 175042.

Almost surely, 22117057152 is an apocalyptic number.

It is an amenable number.

2117057152 is an abundant number, since it is smaller than the sum of its proper divisors (2789115818).

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

2117057152 is an equidigital number, since it uses as much as digits as its factorization.

2117057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337569 (or 337550 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 31.

The square root of 2117057152 is about 46011.4893477705. The cubic root of 2117057152 is about 1284.0369680385.

The spelling of 2117057152 in words is "two billion, one hundred seventeen million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 337541 675082 1350164 2362787 2700328 4725574 5400656 9451148 10801312 16539509 18902296 21602624 33079018 37804592 43205248 66158036 75609184 132316072 151218368 264632144 302436736 529264288 1058528576 2117057152