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10062296721 = 3229211532
BaseRepresentation
bin10010101111100001…
…00111011010010001
3221222020222122011100
421113300213122101
5131101421443341
64342245535013
7504232053021
oct112760473221
927866878140
1010062296721
1142a39a4504
121b49a14469
13c4488c939
146b653ba81
153dd5b63b6
hex257c27691

10062296721 has 27 divisors (see below), whose sum is σ = 15065964849. Its totient is φ = 6471263232.

The previous prime is 10062296707. The next prime is 10062296807. The reversal of 10062296721 is 12769226001.

The square root of 10062296721 is 100311.

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

10062296721 is a `hidden beast` number, since 1 + 0 + 0 + 622 + 9 + 6 + 7 + 21 = 666.

10062296721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1082081025 + 8980215696 = 32895^2 + 94764^2 .

It is not a de Polignac number, because 10062296721 - 223 = 10053908113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10062296221) 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, 8726481 + ... + 8727633.

Almost surely, 210062296721 is an apocalyptic number.

10062296721 is the 100311-st square number.

10062296721 is the 50156-th centered octagonal number.

It is an amenable number.

10062296721 is a deficient number, since it is larger than the sum of its proper divisors (5003668128).

10062296721 is an frugal number, since it uses more digits than its factorization.

10062296721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 10062296721 by its sum of digits (36), we get a square (362242681956 = 6018662).

The spelling of 10062296721 in words is "ten billion, sixty-two million, two hundred ninety-six thousand, seven hundred twenty-one".

Divisors: 1 3 9 29 87 261 841 1153 2523 3459 7569 10377 33437 100311 300933 969673 1329409 2909019 3988227 8727057 11964681 38552861 115658583 346975749 1118032969 3354098907 10062296721