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96314019025 = 527288672
BaseRepresentation
bin101100110110011000…
…0110100110011010001
3100012121021211002220211
41121230300310303101
53034222342102100
6112125051404121
76646515440200
oct1315460646321
9305537732824
1096314019025
1137934831034
12167bb453641
13910bc86b03
1449396cd237
15278a8421ba
hex166cc34cd1

96314019025 has 27 divisors (see below), whose sum is σ = 138943728219. Its totient is φ = 66036450480.

The previous prime is 96314019023. The next prime is 96314019029. The reversal of 96314019025 is 52091041369.

The square root of 96314019025 is 310345.

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., 34673046849 + 61640972176 = 186207^2 + 248276^2 .

It is not a de Polignac number, because 96314019025 - 21 = 96314019023 is a prime.

It is a super-3 number, since 3×963140190253 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96314019023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10857642 + ... + 10866508.

Almost surely, 296314019025 is an apocalyptic number.

96314019025 is the 310345-th square number.

96314019025 is the 155173-rd centered octagonal number.

It is an amenable number.

96314019025 is a deficient number, since it is larger than the sum of its proper divisors (42629709194).

96314019025 is an frugal number, since it uses more digits than its factorization.

96314019025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17758 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 96314019025 in words is "ninety-six billion, three hundred fourteen million, nineteen thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8867 44335 62069 221675 310345 434483 1551725 2172415 10862075 78623689 393118445 550365823 1965592225 2751829115 3852560761 13759145575 19262803805 96314019025