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13876485706674 = 234792395745259
BaseRepresentation
bin1100100111101101111100…
…0000000101001110110010
31211010120122010222202010000
43021323133000011032302
53304323020320103144
645302434115050430
72631354152235033
oct311733700051662
954116563882100
1013876485706674
11446aa91470a18
121681432ba0a16
13798715967496
1435d8a84c6a8a
15190e5c665769
hexc9edf0053b2

13876485706674 has 80 divisors (see below), whose sum is σ = 31489206883200. Its totient is φ = 4566653129376.

The previous prime is 13876485706663. The next prime is 13876485706697. The reversal of 13876485706674 is 47660758467831.

13876485706674 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 6 + 48 + 570 + 6 + 6 + 7 + 4 = 666.

13876485706674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306579057 + ... + 306624315.

It is an arithmetic number, because the mean of its divisors is an integer number (393615086040).

Almost surely, 213876485706674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13876485706674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744603441600).

13876485706674 is an abundant number, since it is smaller than the sum of its proper divisors (17612721176526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13876485706674 is a wasteful number, since it uses less digits than its factorization.

13876485706674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69309 (or 69300 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 13876485706674 in words is "thirteen trillion, eight hundred seventy-six billion, four hundred eighty-five million, seven hundred six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 12798 23957 45259 47914 71871 90518 135777 143742 215613 271554 407331 431226 646839 814662 1221993 1293678 1892603 1940517 2443986 3575461 3665979 3785206 3881034 5677809 7150922 7331958 10726383 11355618 17033427 21452766 32179149 34066854 51100281 64358298 96537447 102200562 153300843 193074894 289612341 306601686 579224682 1084269863 2168539726 3252809589 6505619178 9758428767 19516857534 29275286301 58550572602 85657319177 87825858903 171314638354 175651717806 256971957531 513943915062 770915872593 1541831745186 2312747617779 4625495235558 6938242853337 13876485706674