Search a number
-
+
13744764401 = 177117336571
BaseRepresentation
bin11001100110100000…
…00111010111110001
31022110220012101011012
430303100013113301
5211122124430101
610151514000305
7664415366264
oct146320072761
938426171135
1013744764401
115913619a25
1227b7116095
1313b07853b4
14945636cdb
15556a17bbb
hex3334075f1

13744764401 has 16 divisors (see below), whose sum is σ = 14769019008. Its totient is φ = 12744748800.

The previous prime is 13744764389. The next prime is 13744764413. The reversal of 13744764401 is 10446744731.

13744764401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13744764389) and next prime (13744764413).

It is a cyclic number.

It is not a de Polignac number, because 13744764401 - 210 = 13744763377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13744764461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088446 + ... + 2095016.

It is an arithmetic number, because the mean of its divisors is an integer number (923063688).

Almost surely, 213744764401 is an apocalyptic number.

It is an amenable number.

13744764401 is a deficient number, since it is larger than the sum of its proper divisors (1024254607).

13744764401 is a wasteful number, since it uses less digits than its factorization.

13744764401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392.

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 13744764401 in words is "thirteen billion, seven hundred forty-four million, seven hundred sixty-four thousand, four hundred one".

Divisors: 1 17 71 1207 1733 6571 29461 111707 123043 466541 2091731 7931197 11387543 193588231 808515553 13744764401