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72050368381 is a prime number
BaseRepresentation
bin100001100011010001…
…0010101111101111101
320212222022110221112021
41003012202111331331
52140024343242011
653033253240141
75130322012015
oct1030642257575
9225868427467
1072050368381
11286136111a2
1211b69633051
136a43178994
1436b7062c45
151d1a622471
hex10c6895f7d

72050368381 has 2 divisors, whose sum is σ = 72050368382. Its totient is φ = 72050368380.

The previous prime is 72050368339. The next prime is 72050368387. The reversal of 72050368381 is 18386305027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48598202500 + 23452165881 = 220450^2 + 153141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72050368381 is a prime.

It is a super-2 number, since 2×720503683812 (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 (72050368387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36025184190 + 36025184191.

It is an arithmetic number, because the mean of its divisors is an integer number (36025184191).

Almost surely, 272050368381 is an apocalyptic number.

It is an amenable number.

72050368381 is a deficient number, since it is larger than the sum of its proper divisors (1).

72050368381 is an equidigital number, since it uses as much as digits as its factorization.

72050368381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 72050368381 in words is "seventy-two billion, fifty million, three hundred sixty-eight thousand, three hundred eighty-one".