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96297881761 = 37283872
BaseRepresentation
bin101100110101111001…
…1010001000010100001
3100012120011110020202101
41121223303101002201
53034204224204021
6112123313450401
76646231326604
oct1315363210241
9305504406671
1096297881761
1137926709954
12167b5b70a01
139108826933
1449374cc33b
152789205a91
hex166bcd10a1

96297881761 has 9 divisors (see below), whose sum is σ = 98982670899. Its totient is φ = 93684064824.

The previous prime is 96297881759. The next prime is 96297881803. The reversal of 96297881761 is 16718879269.

The square root of 96297881761 is 310319.

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., 86168667025 + 10129214736 = 293545^2 + 100644^2 .

It is not a de Polignac number, because 96297881761 - 21 = 96297881759 is a prime.

It is a super-2 number, since 2×962978817612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96297881693 and 96297881702.

It is not an unprimeable number, because it can be changed into a prime (96297881731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11477610 + ... + 11485996.

Almost surely, 296297881761 is an apocalyptic number.

96297881761 is the 310319-th square number.

96297881761 is the 155160-th centered octagonal number.

It is an amenable number.

96297881761 is a deficient number, since it is larger than the sum of its proper divisors (2684789138).

96297881761 is an frugal number, since it uses more digits than its factorization.

96297881761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16848 (or 8424 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 64.

Multiplying 96297881761 by its sum of digits (64), we get a square (6163064432704 = 24825522).

The spelling of 96297881761 in words is "ninety-six billion, two hundred ninety-seven million, eight hundred eighty-one thousand, seven hundred sixty-one".

Divisors: 1 37 1369 8387 310319 11481803 70341769 2602645453 96297881761