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67035400381 is a prime number
BaseRepresentation
bin111110011011100111…
…110000100010111101
320102000210221011201201
4332123213300202331
52044242030303011
650443505135501
74562125334035
oct763347604275
9212023834651
1067035400381
112647a810544
1210baa02a591
1364241a91b1
14335cdc68c5
151b25210cc1
hexf9b9f08bd

67035400381 has 2 divisors, whose sum is σ = 67035400382. Its totient is φ = 67035400380.

The previous prime is 67035400319. The next prime is 67035400391. The reversal of 67035400381 is 18300453076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65566211481 + 1469188900 = 256059^2 + 38330^2 .

It is a cyclic number.

It is not a de Polignac number, because 67035400381 - 215 = 67035367613 is a prime.

It is a super-2 number, since 2×670354003812 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67035400381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67035400301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33517700190 + 33517700191.

It is an arithmetic number, because the mean of its divisors is an integer number (33517700191).

Almost surely, 267035400381 is an apocalyptic number.

It is an amenable number.

67035400381 is a deficient number, since it is larger than the sum of its proper divisors (1).

67035400381 is an equidigital number, since it uses as much as digits as its factorization.

67035400381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 67035400381 in words is "sixty-seven billion, thirty-five million, four hundred thousand, three hundred eighty-one".