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72148855417 is a prime number
BaseRepresentation
bin100001100110001101…
…0000010101001111001
320220020011210121100021
41003030122002221321
52140230101333132
653051132210441
75132626103152
oct1031432025171
9226204717307
1072148855417
1128664169a41
1211b96609a21
136a5a6ac932
1436c617c929
151d240c8997
hex10cc682a79

72148855417 has 2 divisors, whose sum is σ = 72148855418. Its totient is φ = 72148855416.

The previous prime is 72148855409. The next prime is 72148855447. The reversal of 72148855417 is 71455884127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68863731561 + 3285123856 = 262419^2 + 57316^2 .

It is an emirp because it is prime and its reverse (71455884127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72148855417 - 23 = 72148855409 is a prime.

It is not a weakly prime, because it can be changed into another prime (72148855447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36074427708 + 36074427709.

It is an arithmetic number, because the mean of its divisors is an integer number (36074427709).

Almost surely, 272148855417 is an apocalyptic number.

It is an amenable number.

72148855417 is a deficient number, since it is larger than the sum of its proper divisors (1).

72148855417 is an equidigital number, since it uses as much as digits as its factorization.

72148855417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2508800, while the sum is 52.

The spelling of 72148855417 in words is "seventy-two billion, one hundred forty-eight million, eight hundred fifty-five thousand, four hundred seventeen".