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54102531761 is a prime number
BaseRepresentation
bin110010011000110000…
…110001111010110001
312011122111110101012122
4302120300301322301
51341300222004021
640504313004025
73623465634515
oct623060617261
9164574411178
1054102531761
1120a43517973
12a59a9b3615
1351429b0405
142893534145
151619b1ebab
hexc98c31eb1

54102531761 has 2 divisors, whose sum is σ = 54102531762. Its totient is φ = 54102531760.

The previous prime is 54102531737. The next prime is 54102531779. The reversal of 54102531761 is 16713520145.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52562440225 + 1540091536 = 229265^2 + 39244^2 .

It is a cyclic number.

It is not a de Polignac number, because 54102531761 - 214 = 54102515377 is a prime.

It is a super-2 number, since 2×541025317612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (54102533761) 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, 27051265880 + 27051265881.

It is an arithmetic number, because the mean of its divisors is an integer number (27051265881).

Almost surely, 254102531761 is an apocalyptic number.

It is an amenable number.

54102531761 is a deficient number, since it is larger than the sum of its proper divisors (1).

54102531761 is an equidigital number, since it uses as much as digits as its factorization.

54102531761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 54102531761 in words is "fifty-four billion, one hundred two million, five hundred thirty-one thousand, seven hundred sixty-one".