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90931799401 = 1925922692
BaseRepresentation
bin101010010101111110…
…1010010010101101001
322200201012020000121021
41110223331102111221
52442212020040101
6105435024012441
76366242353612
oct1245375222551
9280635200537
1090931799401
11356226a2843
1215758a61121
138761ba0981
144588974c09
15257308a5a1
hex152bf52569

90931799401 has 27 divisors (see below), whose sum is σ = 97988007351. Its totient is φ = 84370997808.

The previous prime is 90931799393. The next prime is 90931799423. The reversal of 90931799401 is 10499713909.

The square root of 90931799401 is 301549.

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., 5982867801 + 84948931600 = 77349^2 + 291460^2 .

It is not a de Polignac number, because 90931799401 - 23 = 90931799393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90931799461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338036295 + ... + 338036563.

Almost surely, 290931799401 is an apocalyptic number.

90931799401 is the 301549-th square number.

90931799401 is the 150775-th centered octagonal number.

It is an amenable number.

90931799401 is a deficient number, since it is larger than the sum of its proper divisors (7056207950).

90931799401 is an frugal number, since it uses more digits than its factorization.

90931799401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 52.

The spelling of 90931799401 in words is "ninety billion, nine hundred thirty-one million, seven hundred ninety-nine thousand, four hundred one".

Divisors: 1 19 59 269 361 1121 3481 5111 15871 21299 66139 72361 97109 301549 936389 1256641 1374859 4269299 5729431 17791391 26122321 81116681 251888641 338036429 1541216939 4785884179 90931799401