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96654457449 = 3211294212
BaseRepresentation
bin101101000000100001…
…1011111101001101001
3100020111000102011122100
41122001003133221221
53040422020114244
6112222532244013
76661121222064
oct1320103375151
9306430364570
1096654457449
1137a99a15500
1216895470609
139164672b74
14496c9cb8db
1527aa68cb69
hex16810dfa69

96654457449 has 27 divisors (see below), whose sum is σ = 153474102327. Its totient is φ = 58572241200.

The previous prime is 96654457447. The next prime is 96654457469. The reversal of 96654457449 is 94475445669.

It is a happy number.

The square root of 96654457449 is 310893.

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

96654457449 is a `hidden beast` number, since 9 + 6 + 6 + 54 + 4 + 574 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31415081049 + 65239376400 = 177243^2 + 255420^2 .

It is not a de Polignac number, because 96654457449 - 21 = 96654457447 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96654457441) 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, 10254759 + ... + 10264179.

Almost surely, 296654457449 is an apocalyptic number.

96654457449 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

96654457449 is the 310893-rd square number.

96654457449 is the 155447-th centered octagonal number.

It is an amenable number.

96654457449 is a deficient number, since it is larger than the sum of its proper divisors (56819644878).

96654457449 is an frugal number, since it uses more digits than its factorization.

96654457449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18870 (or 9435 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 96654457449 in words is "ninety-six billion, six hundred fifty-four million, four hundred fifty-seven thousand, four hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 9421 28263 84789 103631 310893 932679 1139941 3419823 10259469 88755241 266265723 798797169 976307651 2928922953 8786768859 10739384161 32218152483 96654457449