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77227982401 is a prime number
BaseRepresentation
bin100011111101100100…
…1010111111001000001
321101100011001222201111
41013323021113321001
52231130330414101
655251131403321
75402532006433
oct1077311277101
9241304058644
1077227982401
112a830201249
1212b735b3541
137389a5440b
143a4895a653
15201ee60251
hex11fb257e41

77227982401 has 2 divisors, whose sum is σ = 77227982402. Its totient is φ = 77227982400.

The previous prime is 77227982383. The next prime is 77227982467. The reversal of 77227982401 is 10428972277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47698996801 + 29528985600 = 218401^2 + 171840^2 .

It is a cyclic number.

It is not a de Polignac number, because 77227982401 - 217 = 77227851329 is a prime.

It is a super-2 number, since 2×772279824012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77227982801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38613991200 + 38613991201.

It is an arithmetic number, because the mean of its divisors is an integer number (38613991201).

Almost surely, 277227982401 is an apocalyptic number.

It is an amenable number.

77227982401 is a deficient number, since it is larger than the sum of its proper divisors (1).

77227982401 is an equidigital number, since it uses as much as digits as its factorization.

77227982401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 77227982401 in words is "seventy-seven billion, two hundred twenty-seven million, nine hundred eighty-two thousand, four hundred one".