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96935709025 = 527328532
BaseRepresentation
bin101101001000111010…
…0011000100101100001
3100021012121122020021101
41122101310120211201
53042011020142100
6112310500354401
710001104634401
oct1322164304541
9307177566241
1096935709025
1138123753a21
12169536a5a01
1391aaa0810c
1449980c0801
1527c51e686a
hex1691d18961

96935709025 has 27 divisors (see below), whose sum is σ = 122012453259. Its totient is φ = 76396590720.

The previous prime is 96935709023. The next prime is 96935709043. The reversal of 96935709025 is 52090753969.

It is a happy number.

The square root of 96935709025 is 311345.

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

It can be written as a sum of positive squares in 13 ways, for example, as 94204183329 + 2731525696 = 306927^2 + 52264^2 .

It is not a de Polignac number, because 96935709025 - 21 = 96935709023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96935709023) 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, 113640499 + ... + 113641351.

Almost surely, 296935709025 is an apocalyptic number.

96935709025 is the 311345-th square number.

96935709025 is the 155673-rd centered octagonal number.

It is an amenable number.

96935709025 is a deficient number, since it is larger than the sum of its proper divisors (25076744234).

96935709025 is an frugal number, since it uses more digits than its factorization.

96935709025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 55.

The spelling of 96935709025 in words is "ninety-six billion, nine hundred thirty-five million, seven hundred nine thousand, twenty-five".

Divisors: 1 5 25 73 365 853 1825 4265 5329 21325 26645 62269 133225 311345 727609 1556725 3638045 4545637 18190225 22728185 53115457 113640925 265577285 1327886425 3877428361 19387141805 96935709025