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83226432968 = 2372534005893
BaseRepresentation
bin100110110000010101…
…1101001010111001000
321221211012012211222022
41031200223221113020
52330421431323333
6102122251144012
76004300002500
oct1154053512710
9257735184868
1083226432968
1132329173a08
1214168445008
137b046c9b53
144057484a00
15227188dc98
hex1360ae95c8

83226432968 has 48 divisors (see below), whose sum is σ = 184952125980. Its totient is φ = 34995472512.

The previous prime is 83226432953. The next prime is 83226432973. The reversal of 83226432968 is 86923462238.

It can be written as a sum of positive squares in 2 ways, for example, as 80316693604 + 2909739364 = 283402^2 + 53942^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

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 11 ways as a sum of consecutive naturals, for example, 1982171 + ... + 2023722.

Almost surely, 283226432968 is an apocalyptic number.

It is an amenable number.

83226432968 is an abundant number, since it is smaller than the sum of its proper divisors (101725693012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83226432968 is a wasteful number, since it uses less digits than its factorization.

83226432968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005966 (or 4005955 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 53.

The spelling of 83226432968 in words is "eighty-three billion, two hundred twenty-six million, four hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 1484 2597 2968 5194 10388 20776 4005893 8011786 16023572 28041251 32047144 56082502 112165004 196288757 212312329 224330008 392577514 424624658 785155028 849249316 1486186303 1570310056 1698498632 2972372606 5944745212 10403304121 11889490424 20806608242 41613216484 83226432968