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13837025401 is a prime number
BaseRepresentation
bin11001110001100000…
…00100000001111001
31022201022210201110021
430320300010001321
5211314234303101
610205011250441
7666615526633
oct147060040171
938638721407
1013837025401
115960704a91
122821ba9a21
1313c69194c4
149539b1a53
1555eb8e5a1
hex338c04079

13837025401 has 2 divisors, whose sum is σ = 13837025402. Its totient is φ = 13837025400.

The previous prime is 13837025387. The next prime is 13837025431. The reversal of 13837025401 is 10452073831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11475551376 + 2361474025 = 107124^2 + 48595^2 .

It is a cyclic number.

It is not a de Polignac number, because 13837025401 - 27 = 13837025273 is a prime.

It is not a weakly prime, because it can be changed into another prime (13837025431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6918512700 + 6918512701.

It is an arithmetic number, because the mean of its divisors is an integer number (6918512701).

Almost surely, 213837025401 is an apocalyptic number.

It is an amenable number.

13837025401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13837025401 is an equidigital number, since it uses as much as digits as its factorization.

13837025401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 13837025401 in words is "thirteen billion, eight hundred thirty-seven million, twenty-five thousand, four hundred one".