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90724452025 = 5210725632
BaseRepresentation
bin101010001111110011…
…0010100011010111001
322200011202001200110211
41110133212110122321
52441300424431100
6105402255511121
76361144055404
oct1243746243271
9280152050424
1090724452025
1135526651679
12156bb5284a1
13872ac4330c
1445691dcd3b
15255ec7e1ba
hex151f9946b9

90724452025 has 27 divisors (see below), whose sum is σ = 113761595311. Its totient is φ = 71773537040.

The previous prime is 90724452023. The next prime is 90724452047. The reversal of 90724452025 is 52025442709.

The square root of 90724452025 is 301205.

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., 32660802729 + 58063649296 = 180723^2 + 240964^2 .

It is not a de Polignac number, because 90724452025 - 21 = 90724452023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90724452023) 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, 161144394 + ... + 161144956.

Almost surely, 290724452025 is an apocalyptic number.

90724452025 is the 301205-th square number.

90724452025 is the 150603-rd centered octagonal number.

It is an amenable number.

90724452025 is a deficient number, since it is larger than the sum of its proper divisors (23037143286).

90724452025 is an frugal number, since it uses more digits than its factorization.

90724452025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 90724452025 in words is "ninety billion, seven hundred twenty-four million, four hundred fifty-two thousand, twenty-five".

Divisors: 1 5 25 107 535 563 2675 2815 11449 14075 57245 60241 286225 301205 316969 1506025 1584845 6445787 7924225 32228935 33915683 161144675 169578415 847892075 3628978081 18144890405 90724452025