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2654006401 is a prime number
BaseRepresentation
bin1001111000110000…
…1110110010000001
320211221222111100101
42132030032302001
520413411201101
61115204322401
7122524452664
oct23614166201
96757874311
102654006401
111142132322
126209a3401
13333b01ab7
141b269d6db
15107eec401
hex9e30ec81

2654006401 has 2 divisors, whose sum is σ = 2654006402. Its totient is φ = 2654006400.

The previous prime is 2654006389. The next prime is 2654006417. The reversal of 2654006401 is 1046004562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2568462400 + 85544001 = 50680^2 + 9249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2654006401 - 227 = 2519788673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2654006401.

It is not a weakly prime, because it can be changed into another prime (2654006461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1327003200 + 1327003201.

It is an arithmetic number, because the mean of its divisors is an integer number (1327003201).

Almost surely, 22654006401 is an apocalyptic number.

It is an amenable number.

2654006401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2654006401 is an equidigital number, since it uses as much as digits as its factorization.

2654006401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2654006401 is about 51517.0496146664. The cubic root of 2654006401 is about 1384.5245321044.

The spelling of 2654006401 in words is "two billion, six hundred fifty-four million, six thousand, four hundred one".