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90532986769 = 193215592
BaseRepresentation
bin101010001010000101…
…1111011111110010001
322122200101210020112001
41110110023323332101
52440402421034034
6105331300034001
76353330455561
oct1242413737621
9278611706461
1090532986769
1135438568a25
1215667392901
1386ca386974
14454b9dcda1
15254d05da14
hex15142fbf91

90532986769 has 9 divisors (see below), whose sum is σ = 91062911163. Its totient is φ = 90006133632.

The previous prime is 90532986763. The next prime is 90532986781. The reversal of 90532986769 is 96768923509.

The square root of 90532986769 is 300887.

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., 21935091025 + 68597895744 = 148105^2 + 261912^2 .

It is not a de Polignac number, because 90532986769 - 213 = 90532978577 is a prime.

It is a super-2 number, since 2×905329867692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90532986769.

It is not an unprimeable number, because it can be changed into a prime (90532986763) 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, 58070412 + ... + 58071970.

Almost surely, 290532986769 is an apocalyptic number.

90532986769 is the 300887-th square number.

90532986769 is the 150444-th centered octagonal number.

It is an amenable number.

90532986769 is a deficient number, since it is larger than the sum of its proper divisors (529924394).

90532986769 is an frugal number, since it uses more digits than its factorization.

90532986769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

Multiplying 90532986769 by its sum of digits (64), we get a square (5794111153216 = 24070962).

The spelling of 90532986769 in words is "ninety billion, five hundred thirty-two million, nine hundred eighty-six thousand, seven hundred sixty-nine".

Divisors: 1 193 1559 37249 300887 2430481 58071191 469082833 90532986769