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90431116841 = 1333720641661
BaseRepresentation
bin101010000111000011…
…1010101011000101001
322122102022002201020202
41110032013111120221
52440200331214331
6105313220401545
76350652544652
oct1241607253051
9278368081222
1090431116841
113539600a5aa
12156392462b5
1386b2239cc0
14453c282529
152544139ecb
hex150e1d5629

90431116841 has 8 divisors (see below), whose sum is σ = 97676344584. Its totient is φ = 83227173120.

The previous prime is 90431116823. The next prime is 90431116891. The reversal of 90431116841 is 14861113409.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2046205225 + 88384911616 = 45235^2 + 297296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-90431116841 is a prime.

It is a super-2 number, since 2×904311168412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90431116795 and 90431116804.

It is not an unprimeable number, because it can be changed into a prime (90431116891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10316450 + ... + 10325211.

It is an arithmetic number, because the mean of its divisors is an integer number (12209543073).

Almost surely, 290431116841 is an apocalyptic number.

It is an amenable number.

90431116841 is a deficient number, since it is larger than the sum of its proper divisors (7245227743).

90431116841 is a wasteful number, since it uses less digits than its factorization.

90431116841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642011.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 90431116841 in words is "ninety billion, four hundred thirty-one million, one hundred sixteen thousand, eight hundred forty-one".

Divisors: 1 13 337 4381 20641661 268341593 6956239757 90431116841