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90940172329 is a prime number
BaseRepresentation
bin101010010110001110…
…1001110100000101001
322200201202222102002201
41110230131032200221
52442221141003304
6105435523300201
76366403465516
oct1245435164051
9280652872081
1090940172329
11356273a1516
121575b81a661
138763842a76
144589b1430d
152573b913a4
hex152c74e829

90940172329 has 2 divisors, whose sum is σ = 90940172330. Its totient is φ = 90940172328.

The previous prime is 90940172311. The next prime is 90940172363. The reversal of 90940172329 is 92327104909.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81133825600 + 9806346729 = 284840^2 + 99027^2 .

It is a cyclic number.

It is not a de Polignac number, because 90940172329 - 213 = 90940164137 is a prime.

It is a super-2 number, since 2×909401723292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90940172399) 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 as a sum of consecutive naturals, namely, 45470086164 + 45470086165.

It is an arithmetic number, because the mean of its divisors is an integer number (45470086165).

Almost surely, 290940172329 is an apocalyptic number.

It is an amenable number.

90940172329 is a deficient number, since it is larger than the sum of its proper divisors (1).

90940172329 is an equidigital number, since it uses as much as digits as its factorization.

90940172329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 90940172329 in words is "ninety billion, nine hundred forty million, one hundred seventy-two thousand, three hundred twenty-nine".