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59406262681 is a prime number
BaseRepresentation
bin110111010100111000…
…111010000110011001
312200100010100211021011
4313110320322012121
51433131000401211
643142454213521
74202066621053
oct672470720631
9180303324234
1059406262681
1123215317467
12b61b0542a1
1357a974502c
142c37a9a8d3
15182a570921
hexdd4e3a199

59406262681 has 2 divisors, whose sum is σ = 59406262682. Its totient is φ = 59406262680.

The previous prime is 59406262649. The next prime is 59406262763. The reversal of 59406262681 is 18626260495.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40497537600 + 18908725081 = 201240^2 + 137509^2 .

It is a cyclic number.

It is not a de Polignac number, because 59406262681 - 25 = 59406262649 is a prime.

It is a super-2 number, since 2×594062626812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (59406262621) 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, 29703131340 + 29703131341.

It is an arithmetic number, because the mean of its divisors is an integer number (29703131341).

Almost surely, 259406262681 is an apocalyptic number.

It is an amenable number.

59406262681 is a deficient number, since it is larger than the sum of its proper divisors (1).

59406262681 is an equidigital number, since it uses as much as digits as its factorization.

59406262681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 59406262681 in words is "fifty-nine billion, four hundred six million, two hundred sixty-two thousand, six hundred eighty-one".