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13845358401 = 37837943407
BaseRepresentation
bin11001110010011111…
…10110011101000001
31022201220111002011220
430321033312131001
5211323402432101
610205510025253
71000046414250
oct147117663501
938656432156
1013845358401
115965386766
122824948229
1313c8576384
14954b40797
15560788636
hex3393f6741

13845358401 has 16 divisors (see below), whose sum is σ = 21351880704. Its totient is φ = 7816311504.

The previous prime is 13845358393. The next prime is 13845358427. The reversal of 13845358401 is 10485354831.

It is a happy number.

It is not a de Polignac number, because 13845358401 - 23 = 13845358393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13845358201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3969961 + ... + 3973446.

It is an arithmetic number, because the mean of its divisors is an integer number (1334492544).

Almost surely, 213845358401 is an apocalyptic number.

It is an amenable number.

13845358401 is a deficient number, since it is larger than the sum of its proper divisors (7506522303).

13845358401 is an equidigital number, since it uses as much as digits as its factorization.

13845358401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943500.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 13845358401 in words is "thirteen billion, eight hundred forty-five million, three hundred fifty-eight thousand, four hundred one".

Divisors: 1 3 7 21 83 249 581 1743 7943407 23830221 55603849 166811547 659302781 1977908343 4615119467 13845358401