Search a number
-
+
79617087225 = 325213214472
BaseRepresentation
bin100101000100110001…
…1000101011011111001
321121111122121002102100
41022021203011123321
52301023433242400
6100324154254013
75515662034554
oct1121143053371
9247448532370
1079617087225
1130846852045
121351b727309
13767a9c6c00
143bd3d8169b
15210ea83100
hex12898c56f9

79617087225 has 81 divisors (see below), whose sum is σ = 154523108493. Its totient is φ = 39169016640.

The previous prime is 79617087223. The next prime is 79617087233. The reversal of 79617087225 is 52278071697.

It is a happy number.

The square root of 79617087225 is 282165.

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 20521422009 + 59095665216 = 143253^2 + 243096^2 .

It is not a de Polignac number, because 79617087225 - 21 = 79617087223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (79617087223) 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, 55021452 + ... + 55022898.

Almost surely, 279617087225 is an apocalyptic number.

79617087225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

79617087225 is the 282165-th square number.

79617087225 is the 141083-rd centered octagonal number.

It is an amenable number.

79617087225 is a deficient number, since it is larger than the sum of its proper divisors (74906021268).

79617087225 is a wasteful number, since it uses less digits than its factorization.

79617087225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 79617087225 in words is "seventy-nine billion, six hundred seventeen million, eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1447 1521 2535 2925 4225 4341 7235 7605 12675 13023 18811 21705 36175 38025 56433 65115 94055 108525 169299 244543 282165 325575 470275 733629 846495 1222715 1410825 2093809 2200887 3668145 4232475 6113575 6281427 10469045 11004435 18340725 18844281 27219517 31407135 52345225 55022175 81658551 94221405 136097585 157035675 244975653 353853721 408292755 471107025 680487925 1061561163 1224878265 1769268605 2041463775 3184683489 5307805815 6124391325 8846343025 15923417445 26539029075 79617087225