Search a number
-
+
97396075413025 = 521032191632
BaseRepresentation
bin10110001001010011001010…
…011110100011111000100001
3110202211222021221210221121021
4112021103022132203320201
5100231214130301204100
6543051050033525441
726341430354302504
oct2611231236437041
9422758257727537
1097396075413025
1129040497507594
12ab10018713881
134246544b4827c
141a09dd0b9913b
15b3d767148a1a
hex5894ca7a3e21

97396075413025 has 27 divisors (see below), whose sum is σ = 121961417048499. Its totient is φ = 77156359428720.

The previous prime is 97396075412941. The next prime is 97396075413079. The reversal of 97396075413025 is 52031457069379.

The square root of 97396075413025 is 9868945.

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

It can be written as a sum of positive squares in only one way, i.e., 35062587148689 + 62333488264336 = 5921367^2 + 7895156^2 .

It is not a de Polignac number, because 97396075413025 - 29 = 97396075412513 is a prime.

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, 5082497094 + ... + 5082516256.

Almost surely, 297396075413025 is an apocalyptic number.

97396075413025 is the 9868945-th square number.

97396075413025 is the 4934473-rd centered octagonal number.

It is an amenable number.

97396075413025 is a deficient number, since it is larger than the sum of its proper divisors (24565341635474).

97396075413025 is an frugal number, since it uses more digits than its factorization.

97396075413025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38542 (or 19271 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 97396075413025 in words is "ninety-seven trillion, three hundred ninety-six billion, seventy-five million, four hundred thirteen thousand, twenty-five".

Divisors: 1 5 25 103 515 2575 10609 19163 53045 95815 265225 479075 1973789 9868945 49344725 203300267 367220569 1016501335 1836102845 5082506675 9180514225 37823718607 189118593035 945592965175 3895843016521 19479215082605 97396075413025