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15056517025 = 52112232972
BaseRepresentation
bin11100000010111000…
…00011011110100001
31102212022111022110201
432001130003132201
5221313432021100
610530013225201
71042054166044
oct160134033641
942768438421
1015056517025
116427014100
122b02492201
13155c476894
14a2b936c5b
155d1c7a36a
hex3817037a1

15056517025 has 81 divisors (see below), whose sum is σ = 21676140633. Its totient is φ = 10366118400.

The previous prime is 15056517023. The next prime is 15056517059. The reversal of 15056517025 is 52071565051.

The square root of 15056517025 is 122705.

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 553613841 + 14502903184 = 23529^2 + 120428^2 .

It is not a de Polignac number, because 15056517025 - 21 = 15056517023 is a prime.

It is a super-2 number, since 2×150565170252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15056517023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 155221777 + ... + 155221873.

Almost surely, 215056517025 is an apocalyptic number.

15056517025 is the 122705-th square number.

15056517025 is the 61353-rd centered octagonal number.

It is an amenable number.

15056517025 is a deficient number, since it is larger than the sum of its proper divisors (6619623608).

15056517025 is an equidigital number, since it uses as much as digits as its factorization.

15056517025 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 52500, while the sum is 37.

The spelling of 15056517025 in words is "fifteen billion, fifty-six million, five hundred seventeen thousand, twenty-five".

Divisors: 1 5 11 23 25 55 97 115 121 253 275 485 529 575 605 1067 1265 2231 2425 2645 2783 3025 5335 5819 6325 9409 11155 11737 13225 13915 24541 26675 29095 47045 51313 55775 58685 64009 69575 103499 122705 145475 216407 235225 256565 269951 293425 320045 517495 564443 613525 1082035 1138489 1282825 1349755 1600225 2380477 2587475 2822215 4977361 5410175 5692445 6208873 6748775 11902385 14111075 24886805 26185247 28462225 31044365 54750971 59511925 124434025 130926235 155221825 273754855 602260681 654631175 1368774275 3011303405 15056517025