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96811211025 = 3252207432
BaseRepresentation
bin101101000101001100…
…1011101100100010001
3100020212221101002010100
41122022121131210101
53041232132223100
6112250252123013
76665033500434
oct1321231354421
9306787332110
1096811211025
113806a44a811
1216919a66469
13918ac97a69
14498575381b
1527b9303400
hex168a65d911

96811211025 has 27 divisors (see below), whose sum is σ = 173407995579. Its totient is φ = 51630156720.

The previous prime is 96811210987. The next prime is 96811211041. The reversal of 96811211025 is 52011211869.

The square root of 96811211025 is 311145.

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., 34852035969 + 61959175056 = 186687^2 + 248916^2 .

It is not a de Polignac number, because 96811211025 - 213 = 96811202833 is a prime.

It is an unprimeable number.

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, 4656804 + ... + 4677546.

Almost surely, 296811211025 is an apocalyptic number.

96811211025 is the 311145-th square number.

96811211025 is the 155573-rd centered octagonal number.

It is an amenable number.

96811211025 is a deficient number, since it is larger than the sum of its proper divisors (76596784554).

96811211025 is an frugal number, since it uses more digits than its factorization.

96811211025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41502 (or 20751 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 96811211025 by its sum of digits (36), we get a square (3485203596900 = 18668702).

The spelling of 96811211025 in words is "ninety-six billion, eight hundred eleven million, two hundred eleven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 20743 62229 103715 186687 311145 518575 933435 1555725 4667175 430272049 1290816147 2151360245 3872448441 6454080735 10756801225 19362242205 32270403675 96811211025