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72146037373 is a prime number
BaseRepresentation
bin100001100110000111…
…1010010101001111101
320220012222111102201021
41003030033102221331
52140223341143443
653050551544141
75132563125244
oct1031417225175
9226188442637
1072146037373
1128662614783
1211b9568b051
136a59c34057
1436c5a4795b
151d23c1d9ed
hex10cc3d2a7d

72146037373 has 2 divisors, whose sum is σ = 72146037374. Its totient is φ = 72146037372.

The previous prime is 72146037349. The next prime is 72146037419. The reversal of 72146037373 is 37373064127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65854850884 + 6291186489 = 256622^2 + 79317^2 .

It is a cyclic number.

It is not a de Polignac number, because 72146037373 - 29 = 72146036861 is a prime.

It is a super-2 number, since 2×721460373732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72146032373) 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, 36073018686 + 36073018687.

It is an arithmetic number, because the mean of its divisors is an integer number (36073018687).

Almost surely, 272146037373 is an apocalyptic number.

It is an amenable number.

72146037373 is a deficient number, since it is larger than the sum of its proper divisors (1).

72146037373 is an equidigital number, since it uses as much as digits as its factorization.

72146037373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 444528, while the sum is 43.

The spelling of 72146037373 in words is "seventy-two billion, one hundred forty-six million, thirty-seven thousand, three hundred seventy-three".