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90764215441 = 73241272
BaseRepresentation
bin101010010000111111…
…0000000010010010001
322200021111212212121221
41110201332000102101
52441341114343231
6105410240045041
76362136046624
oct1244176002221
9280244785557
1090764215441
11355470404a9
1215710903781
138736256273
1445705cddbb
1525634d5d11
hex1521f80491

90764215441 has 9 divisors (see below), whose sum is σ = 92046896571. Its totient is φ = 89499178512.

The previous prime is 90764215439. The next prime is 90764215453. The reversal of 90764215441 is 14451246709.

The square root of 90764215441 is 301271.

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., 51522190225 + 39242025216 = 226985^2 + 198096^2 .

It is not a de Polignac number, because 90764215441 - 21 = 90764215439 is a prime.

It is a super-3 number, since 3×907642154413 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90764215471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21990720 + ... + 21994846.

Almost surely, 290764215441 is an apocalyptic number.

90764215441 is the 301271-st square number.

90764215441 is the 150636-th centered octagonal number.

It is an amenable number.

90764215441 is a deficient number, since it is larger than the sum of its proper divisors (1282681130).

90764215441 is an frugal number, since it uses more digits than its factorization.

90764215441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 90764215441 in words is "ninety billion, seven hundred sixty-four million, two hundred fifteen thousand, four hundred forty-one".

Divisors: 1 73 4127 5329 301271 17032129 21992783 1243345417 90764215441