Search a number
-
+
12714583608 = 2334119316447
BaseRepresentation
bin10111101011101100…
…10010011000111000
31012211002201202210000
423311312102120320
5202014413133413
65501353353000
7630036114606
oct136566223070
935732652700
1012714583608
115435061941
12256a108760
13127820bb6c
148888b0876
154e6374073
hex2f5d92638

12714583608 has 80 divisors (see below), whose sum is σ = 35644625280. Its totient is φ = 4234384512.

The previous prime is 12714583601. The next prime is 12714583633. The reversal of 12714583608 is 80638541721.

12714583608 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 4 + 583 + 60 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12714583601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 764841 + ... + 781287.

It is an arithmetic number, because the mean of its divisors is an integer number (445557816).

Almost surely, 212714583608 is an apocalyptic number.

12714583608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12714583608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822312640).

12714583608 is an abundant number, since it is smaller than the sum of its proper divisors (22930041672).

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

12714583608 is a wasteful number, since it uses less digits than its factorization.

12714583608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17658 (or 17645 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12714583608 in words is "twelve billion, seven hundred fourteen million, five hundred eighty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1193 2386 3579 4772 7158 9544 10737 14316 16447 21474 28632 32211 32894 42948 49341 64422 65788 85896 96633 98682 128844 131576 148023 193266 197364 257688 296046 386532 394728 444069 592092 773064 888138 1184184 1332207 1776276 2664414 3552552 5328828 10657656 19621271 39242542 58863813 78485084 117727626 156970168 176591439 235455252 353182878 470910504 529774317 706365756 1059548634 1412731512 1589322951 2119097268 3178645902 4238194536 6357291804 12714583608