Search a number
-
+
13781856465 = 3251331759959
BaseRepresentation
bin11001101010111011…
…00111000011010001
31022120110222211220100
430311131213003101
5211211123401330
610155321003013
7665345563356
oct146535470321
938513884810
1013781856465
115932553823
122807623469
1313b8371470
1494a53062d
15559de3060
hex3357670d1

13781856465 has 48 divisors (see below), whose sum is σ = 26556042240. Its totient is φ = 6566037120.

The previous prime is 13781856449. The next prime is 13781856467. The reversal of 13781856465 is 56465818731.

It is a happy number.

13781856465 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 18 + 564 + 65 = 666.

It is not a de Polignac number, because 13781856465 - 24 = 13781856449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13781856467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361845 + ... + 398114.

It is an arithmetic number, because the mean of its divisors is an integer number (553250880).

Almost surely, 213781856465 is an apocalyptic number.

13781856465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13781856465 is a deficient number, since it is larger than the sum of its proper divisors (12774185775).

13781856465 is a wasteful number, since it uses less digits than its factorization.

13781856465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760014 (or 760011 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 13781856465 in words is "thirteen billion, seven hundred eighty-one million, eight hundred fifty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 18135 759959 2279877 3799795 6839631 9879467 11399385 23558729 29638401 34198155 49397335 70676187 88915203 117793645 148192005 212028561 306263477 353380935 444576015 918790431 1060142805 1531317385 2756371293 4593952155 13781856465