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96465526921 = 3124322332
BaseRepresentation
bin101100111010111001…
…0110010000010001001
3100012222211220111200101
41121311302302002021
53040030133330141
6112152103005401
76653335310161
oct1316562620211
9305884814611
1096465526921
1137a02303175
1216842139861
13913449315a
14495188b5a1
152798cbd531
hex1675cb2089

96465526921 has 27 divisors (see below), whose sum is σ = 102489554727. Its totient is φ = 90791376480.

The previous prime is 96465526909. The next prime is 96465526931. The reversal of 96465526921 is 12962556469.

The square root of 96465526921 is 310589.

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., 19590201225 + 76875325696 = 139965^2 + 277264^2 .

It is not a de Polignac number, because 96465526921 - 27 = 96465526793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96465526931) 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 26 ways as a sum of consecutive naturals, for example, 414015021 + ... + 414015253.

Almost surely, 296465526921 is an apocalyptic number.

96465526921 is the 310589-th square number.

96465526921 is the 155295-th centered octagonal number.

It is an amenable number.

96465526921 is a deficient number, since it is larger than the sum of its proper divisors (6024027806).

96465526921 is an frugal number, since it uses more digits than its factorization.

96465526921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 307 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 96465526921 in words is "ninety-six billion, four hundred sixty-five million, five hundred twenty-six thousand, nine hundred twenty-one".

Divisors: 1 31 43 233 961 1333 1849 7223 10019 41323 54289 57319 223913 310589 430817 1682959 1776889 2334427 9628259 13355327 52171729 72367237 100380361 414015137 2243384347 3111791191 96465526921