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272260800041 is a prime number
BaseRepresentation
bin1111110110010000000…
…0100001111000101001
3222000202022201122222212
43331210000201320221
513430042231100131
6325024101454505
725445606421266
oct3754400417051
9860668648885
10272260800041
11a551313a85a
1244923711435
131c89bc65319
14d26b08026d
1571372b1a2b
hex3f64021e29

272260800041 has 2 divisors, whose sum is σ = 272260800042. Its totient is φ = 272260800040.

The previous prime is 272260799989. The next prime is 272260800061. The reversal of 272260800041 is 140008062272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256014748441 + 16246051600 = 505979^2 + 127460^2 .

It is a cyclic number.

It is not a de Polignac number, because 272260800041 - 230 = 271187058217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 272260799980 and 272260800007.

It is not a weakly prime, because it can be changed into another prime (272260800061) 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, 136130400020 + 136130400021.

It is an arithmetic number, because the mean of its divisors is an integer number (136130400021).

Almost surely, 2272260800041 is an apocalyptic number.

It is an amenable number.

272260800041 is a deficient number, since it is larger than the sum of its proper divisors (1).

272260800041 is an equidigital number, since it uses as much as digits as its factorization.

272260800041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 272260800041 in words is "two hundred seventy-two billion, two hundred sixty million, eight hundred thousand, forty-one".