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2604440006401 is a prime number
BaseRepresentation
bin100101111001100100101…
…110001010111100000001
3100012222111220100121012211
4211321210232022330001
5320132343120201101
65312244020022121
7356110310534122
oct45714456127401
910188456317184
102604440006401
1191459a538962
12360911831941
1315b7a00212ac
14900ac6a4049
1547b32a37c51
hex25e64b8af01

2604440006401 has 2 divisors, whose sum is σ = 2604440006402. Its totient is φ = 2604440006400.

The previous prime is 2604440006393. The next prime is 2604440006419. The reversal of 2604440006401 is 1046000444062.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1681687646401 + 922752360000 = 1296799^2 + 960600^2 .

It is a cyclic number.

It is not a de Polignac number, because 2604440006401 - 23 = 2604440006393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2604440006461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302220003200 + 1302220003201.

It is an arithmetic number, because the mean of its divisors is an integer number (1302220003201).

Almost surely, 22604440006401 is an apocalyptic number.

It is an amenable number.

2604440006401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2604440006401 is an equidigital number, since it uses as much as digits as its factorization.

2604440006401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 2604440006401 in words is "two trillion, six hundred four billion, four hundred forty million, six thousand, four hundred one".