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90590705041 = 1494373139033
BaseRepresentation
bin101010001011110100…
…0000111010110010001
322122211102101122002211
41110113220013112101
52441012210030131
6105341121112121
76354631200454
oct1242750072621
9278742348084
1090590705041
1135468100581
1215682788641
1387093151a5
14455554549b
1525531605b1
hex1517a07591

90590705041 has 8 divisors (see below), whose sum is σ = 91220207400. Its totient is φ = 89961489792.

The previous prime is 90590705039. The next prime is 90590705063. The reversal of 90590705041 is 14050709509.

It can be written as a sum of positive squares in 4 ways, for example, as 6383370816 + 84207334225 = 79896^2 + 290185^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 90590705041 - 21 = 90590705039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90590704985 and 90590705003.

It is not an unprimeable number, because it can be changed into a prime (90590705071) 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, 582061 + ... + 721093.

It is an arithmetic number, because the mean of its divisors is an integer number (11402525925).

Almost surely, 290590705041 is an apocalyptic number.

It is an amenable number.

90590705041 is a deficient number, since it is larger than the sum of its proper divisors (629502359).

90590705041 is a wasteful number, since it uses less digits than its factorization.

90590705041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143555.

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 90590705041 in words is "ninety billion, five hundred ninety million, seven hundred five thousand, forty-one".

Divisors: 1 149 4373 139033 651577 20715917 607991309 90590705041