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104972760025 = 527292572
BaseRepresentation
bin110000111000011011…
…1010011001111011001
3101000221201202201120221
41201300313103033121
53204441011310100
6120120202320041
710404215511100
oct1416067231731
9330851681527
10104972760025
1140578428331
12184171b9021
139b8bb216b3
14511b671037
152ae5ab001a
hex1870dd33d9

104972760025 has 27 divisors (see below), whose sum is σ = 151434209469. Its totient is φ = 71973545280.

The previous prime is 104972760001. The next prime is 104972760037. The reversal of 104972760025 is 520067279401.

The square root of 104972760025 is 323995.

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 41172062281 + 63800697744 = 202909^2 + 252588^2 .

It is not a de Polignac number, because 104972760025 - 211 = 104972757977 is a prime.

It is a super-2 number, since 2×1049727600252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11335197 + ... + 11344453.

Almost surely, 2104972760025 is an apocalyptic number.

104972760025 is the 323995-th square number.

104972760025 is the 161998-th centered octagonal number.

It is an amenable number.

104972760025 is a deficient number, since it is larger than the sum of its proper divisors (46461449444).

104972760025 is an frugal number, since it uses more digits than its factorization.

104972760025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18538 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 104972760025 in words is "one hundred four billion, nine hundred seventy-two million, seven hundred sixty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 9257 46285 64799 231425 323995 453593 1619975 2267965 11339825 85692049 428460245 599844343 2142301225 2999221715 4198910401 14996108575 20994552005 104972760025