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72339606570577 is a prime number
BaseRepresentation
bin10000011100101011100000…
…100011011000011001010001
3100111010121011120010220022011
4100130223200203120121101
533440203003240224302
6413504204555542521
721144235613246623
oct2034534043303121
9314117146126264
1072339606570577
1121060067023965
128143a97a5aa41
13314979879b548
1413c1381690c13
15856abc3525d7
hex41cae08d8651

72339606570577 has 2 divisors, whose sum is σ = 72339606570578. Its totient is φ = 72339606570576.

The previous prime is 72339606570547. The next prime is 72339606570629. The reversal of 72339606570577 is 77507560693327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54118327658256 + 18221278912321 = 7356516^2 + 4268639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72339606570577 is a prime.

It is a super-2 number, since 2×723396065705772 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72339606570547) 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, 36169803285288 + 36169803285289.

It is an arithmetic number, because the mean of its divisors is an integer number (36169803285289).

Almost surely, 272339606570577 is an apocalyptic number.

It is an amenable number.

72339606570577 is a deficient number, since it is larger than the sum of its proper divisors (1).

72339606570577 is an equidigital number, since it uses as much as digits as its factorization.

72339606570577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350065800, while the sum is 67.

The spelling of 72339606570577 in words is "seventy-two trillion, three hundred thirty-nine billion, six hundred six million, five hundred seventy thousand, five hundred seventy-seven".