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90100577641 is a prime number
BaseRepresentation
bin101001111101001101…
…0011011010101101001
322121120021010120201011
41103322122123111221
52434011221441031
6105220332023521
76336530162554
oct1237232332551
9277507116634
1090100577641
1135236477608
1215566601ba1
13865b908989
14450a3dd69b
1525250e76b1
hex14fa69b569

90100577641 has 2 divisors, whose sum is σ = 90100577642. Its totient is φ = 90100577640.

The previous prime is 90100577621. The next prime is 90100577669. The reversal of 90100577641 is 14677500109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47962752016 + 42137825625 = 219004^2 + 205275^2 .

It is a cyclic number.

It is not a de Polignac number, because 90100577641 - 29 = 90100577129 is a prime.

It is a super-2 number, since 2×901005776412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90100577594 and 90100577603.

It is not a weakly prime, because it can be changed into another prime (90100577621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45050288820 + 45050288821.

It is an arithmetic number, because the mean of its divisors is an integer number (45050288821).

Almost surely, 290100577641 is an apocalyptic number.

It is an amenable number.

90100577641 is a deficient number, since it is larger than the sum of its proper divisors (1).

90100577641 is an equidigital number, since it uses as much as digits as its factorization.

90100577641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 90100577641 in words is "ninety billion, one hundred million, five hundred seventy-seven thousand, six hundred forty-one".