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2204962917761 is a prime number
BaseRepresentation
bin100000000101100010000…
…010000000110110000001
321210210101122201212202102
4200011202002000312001
5242111231001332021
64404540155400145
7315206015363042
oct40054202006601
97723348655672
102204962917761
117801350a160a
122b7405753055
1312cc08b2a676
1478a13b3c8c9
153c551ed100b
hex20162080d81

2204962917761 has 2 divisors, whose sum is σ = 2204962917762. Its totient is φ = 2204962917760.

The previous prime is 2204962917757. The next prime is 2204962917791. The reversal of 2204962917761 is 1677192694022.

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., 1509605395600 + 695357522161 = 1228660^2 + 833881^2 .

It is a cyclic number.

It is not a de Polignac number, because 2204962917761 - 22 = 2204962917757 is a prime.

It is a super-2 number, since 2×22049629177612 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2204962917697 and 2204962917706.

It is not a weakly prime, because it can be changed into another prime (2204962917791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102481458880 + 1102481458881.

It is an arithmetic number, because the mean of its divisors is an integer number (1102481458881).

Almost surely, 22204962917761 is an apocalyptic number.

It is an amenable number.

2204962917761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2204962917761 is an equidigital number, since it uses as much as digits as its factorization.

2204962917761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 56.

The spelling of 2204962917761 in words is "two trillion, two hundred four billion, nine hundred sixty-two million, nine hundred seventeen thousand, seven hundred sixty-one".