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90431849680 = 2451130398121
BaseRepresentation
bin101010000111000101…
…0001000010011010000
322122102100110221111221
41110032022020103100
52440201023142210
6105313244214424
76350662016344
oct1241612102320
9278370427457
1090431849680
1135396470157
121563953a414
1386b2435733
14453c3d3624
1525442321da
hex150e2884d0

90431849680 has 20 divisors (see below), whose sum is σ = 210254050692. Its totient is φ = 36172739840.

The previous prime is 90431849663. The next prime is 90431849681. The reversal of 90431849680 is 8694813409.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15588021904 + 74843827776 = 124852^2 + 273576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×904318496802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90431849681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 565198981 + ... + 565199140.

Almost surely, 290431849680 is an apocalyptic number.

It is an amenable number.

90431849680 is an abundant number, since it is smaller than the sum of its proper divisors (119822201012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90431849680 is a wasteful number, since it uses less digits than its factorization.

90431849680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130398134 (or 1130398128 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 90431849680 in words is "ninety billion, four hundred thirty-one million, eight hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1130398121 2260796242 4521592484 5651990605 9043184968 11303981210 18086369936 22607962420 45215924840 90431849680