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90788318721 = 34334792
BaseRepresentation
bin101010010001101100…
…1111100111000000001
322200100012020110010000
41110203121330320001
52441413302144341
6105412500430213
76362550655602
oct1244331747001
9280305213100
1090788318721
1135559703671
12157189a8369
13873b245269
1445738a5da9
1525656978b6
hex152367ce01

90788318721 has 15 divisors (see below), whose sum is σ = 135626107441. Its totient is φ = 60523737948.

The previous prime is 90788318683. The next prime is 90788318743. The reversal of 90788318721 is 12781388709.

It is a happy number.

The square root of 90788318721 is 301311.

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

It is not a de Polignac number, because 90788318721 - 235 = 56428580353 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90788318521) 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 14 ways as a sum of consecutive naturals, for example, 2695060 + ... + 2728538.

Almost surely, 290788318721 is an apocalyptic number.

90788318721 is the 301311-st square number.

90788318721 is the 150656-th centered octagonal number.

It is an amenable number.

90788318721 is a deficient number, since it is larger than the sum of its proper divisors (44837788720).

90788318721 is an frugal number, since it uses more digits than its factorization.

90788318721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66970 (or 33482 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 90788318721 in words is "ninety billion, seven hundred eighty-eight million, three hundred eighteen thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 81 33479 100437 301311 903933 2711799 1120843441 3362530323 10087590969 30262772907 90788318721