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72334931761 is a prime number
BaseRepresentation
bin100001101011101111…
…1110111011100110001
320220201010221021002201
41003113133313130301
52141120220304021
653121420343201
75140345526611
oct1032737673461
9226633837081
1072334931761
112874a201944
12120289a4b01
136a8a100491
143702b78a41
151d355d2591
hex10d77f7731

72334931761 has 2 divisors, whose sum is σ = 72334931762. Its totient is φ = 72334931760.

The previous prime is 72334931731. The next prime is 72334931803. The reversal of 72334931761 is 16713943327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55234400400 + 17100531361 = 235020^2 + 130769^2 .

It is a cyclic number.

It is not a de Polignac number, because 72334931761 - 27 = 72334931633 is a prime.

It is a super-2 number, since 2×723349317612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72334931731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36167465880 + 36167465881.

It is an arithmetic number, because the mean of its divisors is an integer number (36167465881).

Almost surely, 272334931761 is an apocalyptic number.

It is an amenable number.

72334931761 is a deficient number, since it is larger than the sum of its proper divisors (1).

72334931761 is an equidigital number, since it uses as much as digits as its factorization.

72334931761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 571536, while the sum is 46.

The spelling of 72334931761 in words is "seventy-two billion, three hundred thirty-four million, nine hundred thirty-one thousand, seven hundred sixty-one".