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11139747025 = 521121921012
BaseRepresentation
bin10100101111111101…
…10000110011010001
31001202100101210010011
422113332300303101
5140303233401100
65041215234521
7543024200401
oct122776606321
931670353104
1011139747025
1147a7107900
1221aa818a41
131086b767b4
1477968a801
15452e95bba
hex297fb0cd1

11139747025 has 81 divisors (see below), whose sum is σ = 16184601489. Its totient is φ = 7599240000.

The previous prime is 11139747019. The next prime is 11139747037. The reversal of 11139747025 is 52074793111.

It is a happy number.

The square root of 11139747025 is 105545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2056894609 + 9082852416 = 45353^2 + 95304^2 .

It is not a de Polignac number, because 11139747025 - 27 = 11139746897 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 110294475 + ... + 110294575.

Almost surely, 211139747025 is an apocalyptic number.

11139747025 is the 105545-th square number.

11139747025 is the 52773-rd centered octagonal number.

It is an amenable number.

11139747025 is a deficient number, since it is larger than the sum of its proper divisors (5044854464).

11139747025 is a wasteful number, since it uses less digits than its factorization.

11139747025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 11139747025 in words is "eleven billion, one hundred thirty-nine million, seven hundred forty-seven thousand, twenty-five".

Divisors: 1 5 11 19 25 55 95 101 121 209 275 361 475 505 605 1045 1111 1805 1919 2299 2525 3025 3971 5225 5555 9025 9595 10201 11495 12221 19855 21109 27775 36461 43681 47975 51005 57475 61105 99275 105545 112211 182305 193819 218405 232199 255025 305525 401071 527725 561055 911525 969095 1092025 1160995 1234321 2005355 2132009 2805275 3682561 4411781 4845475 5804975 6171605 10026775 10660045 18412805 22058905 23452099 30858025 40508171 53300225 92064025 110294525 117260495 202540855 445589881 586302475 1012704275 2227949405 11139747025