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72412060752257 = 101151661210867
BaseRepresentation
bin10000011101101110111111…
…001010001001100110000001
3100111101112012000110200112112
4100131232333022021212001
533442344400023033012
6414001350320305105
721152412240525122
oct2035567712114601
9314345160420475
1072412060752257
1121088867574a56
128155b38772195
1331535744c23b5
1413c4a961cc049
1585890d13d122
hex41dbbf289981

72412060752257 has 24 divisors (see below), whose sum is σ = 73731629290176. Its totient is φ = 71106017400000.

The previous prime is 72412060752139. The next prime is 72412060752329. The reversal of 72412060752257 is 75225706021427.

It is not a de Polignac number, because 72412060752257 - 28 = 72412060752001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72412060752457) 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 in 23 ways as a sum of consecutive naturals, for example, 6663476738 + ... + 6663487604.

It is an arithmetic number, because the mean of its divisors is an integer number (3072151220424).

Almost surely, 272412060752257 is an apocalyptic number.

It is an amenable number.

72412060752257 is a deficient number, since it is larger than the sum of its proper divisors (1319568537919).

72412060752257 is a wasteful number, since it uses less digits than its factorization.

72412060752257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12441 (or 11780 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 50.

The spelling of 72412060752257 in words is "seventy-two trillion, four hundred twelve billion, sixty million, seven hundred fifty-two thousand, two hundred fifty-seven".

Divisors: 1 101 151 661 10867 15251 66761 99811 436921 1097567 1640917 7183087 10080911 44129021 65975071 165732617 725491787 1084646137 4748020507 6663482171 109549259837 479550071207 716951096557 72412060752257