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11795046025 = 52722921072
BaseRepresentation
bin10101111110000101…
…00001111010001001
31010110000110102100111
422333002201322021
5143124012433100
65230224434321
7565202144200
oct127702417211
933400412314
1011795046025
115002aa5724
1223521789a1
13115c864699
147dc70a237
154907886ba
hex2bf0a1e89

11795046025 has 81 divisors (see below), whose sum is σ = 17786881749. Its totient is φ = 7736151360.

The previous prime is 11795046019. The next prime is 11795046077. The reversal of 11795046025 is 52064059711.

The square root of 11795046025 is 108605.

It is a perfect power (a square), and thus also a powerful number.

11795046025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162129289 + 11632916736 = 12733^2 + 107856^2 .

It is not a de Polignac number, because 11795046025 - 23 = 11795046017 is a prime.

It is a super-2 number, since 2×117950460252 (a number of 21 digits) 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 80 ways as a sum of consecutive naturals, for example, 110234022 + ... + 110234128.

Almost surely, 211795046025 is an apocalyptic number.

11795046025 is the 108605-th square number.

11795046025 is the 54303-rd centered octagonal number.

It is an amenable number.

11795046025 is a deficient number, since it is larger than the sum of its proper divisors (5991835724).

11795046025 is an equidigital number, since it uses as much as digits as its factorization.

11795046025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 11795046025 in words is "eleven billion, seven hundred ninety-five million, forty-six thousand, twenty-five".

Divisors: 1 5 7 25 29 35 49 107 145 175 203 245 535 725 749 841 1015 1225 1421 2675 3103 3745 4205 5075 5243 5887 7105 11449 15515 18725 21025 21721 26215 29435 35525 41209 57245 77575 80143 89987 108605 131075 147175 152047 206045 286225 332021 400715 449935 543025 561001 629909 760235 1030225 1660105 2003575 2249675 2324147 2805005 3149545 3801175 4409363 8300525 9628609 11620735 14025025 15747725 16269029 22046815 48143045 58103675 67400263 81345145 110234075 240715225 337001315 406725725 471801841 1685006575 2359009205 11795046025