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96576867569 = 7213151612037
BaseRepresentation
bin101100111110001101…
…1100000110011110001
3100020021121102012100002
41121330123200303301
53040242134230234
6112211121235345
76656156554400
oct1317433406361
9306247365302
1096576867569
1137a5a140036
1216873492b55
1391515777b0
144962591637
1527a396327e
hex167c6e0cf1

96576867569 has 12 divisors (see below), whose sum is σ = 120986406324. Its totient is φ = 76412466144.

The previous prime is 96576867523. The next prime is 96576867571.

96576867569 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 17705761969 + 78871105600 = 133063^2 + 280840^2 .

It is a de Polignac number, because none of the positive numbers 2k-96576867569 is a prime.

It is a super-2 number, since 2×965768675692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96576867496 and 96576867505.

It is not an unprimeable number, because it can be changed into a prime (96576887569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75805382 + ... + 75806655.

It is an arithmetic number, because the mean of its divisors is an integer number (10082200527).

Almost surely, 296576867569 is an apocalyptic number.

It is an amenable number.

96576867569 is a deficient number, since it is larger than the sum of its proper divisors (24409538755).

96576867569 is a wasteful number, since it uses less digits than its factorization.

96576867569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151612064 (or 151612057 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 74.

The spelling of 96576867569 in words is "ninety-six billion, five hundred seventy-six million, eight hundred sixty-seven thousand, five hundred sixty-nine".

Divisors: 1 7 13 49 91 637 151612037 1061284259 1970956481 7428989813 13796695367 96576867569