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90660607801 = 277210872
BaseRepresentation
bin101010001101111001…
…0110001011100111001
322200000021221001122221
41110123302301130321
52441133103422201
6105352055244041
76356440310551
oct1243362613471
9280007831587
1090660607801
11354a3605555
12156a2079621
13871a94b67a
144560940161
15255936c4a1
hex151bcb1739

90660607801 has 9 divisors (see below), whose sum is σ = 91072867599. Its totient is φ = 90250209864.

The previous prime is 90660607783. The next prime is 90660607823. The reversal of 90660607801 is 10870606609.

The square root of 90660607801 is 301099.

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., 15626250025 + 75034357776 = 125005^2 + 273924^2 .

It is not a de Polignac number, because 90660607801 - 213 = 90660599609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90660107801) 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, 83403880 + ... + 83404966.

It is an arithmetic number, because the mean of its divisors is an integer number (10119207511).

Almost surely, 290660607801 is an apocalyptic number.

90660607801 is the 301099-th square number.

90660607801 is the 150550-th centered octagonal number.

It is an amenable number.

90660607801 is a deficient number, since it is larger than the sum of its proper divisors (412259798).

90660607801 is an frugal number, since it uses more digits than its factorization.

90660607801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 90660607801 in words is "ninety billion, six hundred sixty million, six hundred seven thousand, eight hundred one".

Divisors: 1 277 1087 76729 301099 1181569 83404423 327294613 90660607801