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2267246589953 is a prime number
BaseRepresentation
bin100000111111100010011…
…011010111100000000001
322000202011022110020211012
4200333202123113200001
5244121310111334303
64453320402530305
7322542325016132
oct40774233274001
98022138406735
102267246589953
117a4596658364
123074a8366995
13135a53733b77
147ba41a0dc89
153de99e7c5d8
hex20fe26d7801

2267246589953 has 2 divisors, whose sum is σ = 2267246589954. Its totient is φ = 2267246589952.

The previous prime is 2267246589943. The next prime is 2267246589961. The reversal of 2267246589953 is 3599856427622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2264519348224 + 2727241729 = 1504832^2 + 52223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2267246589953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2267246589913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1133623294976 + 1133623294977.

It is an arithmetic number, because the mean of its divisors is an integer number (1133623294977).

Almost surely, 22267246589953 is an apocalyptic number.

It is an amenable number.

2267246589953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2267246589953 is an equidigital number, since it uses as much as digits as its factorization.

2267246589953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 391910400, while the sum is 68.

The spelling of 2267246589953 in words is "two trillion, two hundred sixty-seven billion, two hundred forty-six million, five hundred eighty-nine thousand, nine hundred fifty-three".