Search a number
-
+
12315769656 = 23311312593607
BaseRepresentation
bin10110111100001001…
…11011101100111000
31011210022021220212220
423132010323230320
5200210314112111
65354025404040
7614124212661
oct133604735470
934708256786
1012315769656
11524aa27033
122478639620
1312136c4388
1484b938368
154c1346e06
hex2de13bb38

12315769656 has 64 divisors (see below), whose sum is σ = 31095187200. Its totient is φ = 4064567808.

The previous prime is 12315769633. The next prime is 12315769667. The reversal of 12315769656 is 65696751321.

It is a junction number, because it is equal to n+sod(n) for n = 12315769599 and 12315769608.

It is a congruent number.

It is an unprimeable number.

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, 3412605 + ... + 3416211.

It is an arithmetic number, because the mean of its divisors is an integer number (485862300).

Almost surely, 212315769656 is an apocalyptic number.

It is an amenable number.

12315769656 is an abundant number, since it is smaller than the sum of its proper divisors (18779417544).

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

12315769656 is a wasteful number, since it uses less digits than its factorization.

12315769656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4984 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The spelling of 12315769656 in words is "twelve billion, three hundred fifteen million, seven hundred sixty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 904 1259 1356 2518 2712 3607 3777 5036 7214 7554 10072 10821 14428 15108 21642 28856 30216 43284 86568 142267 284534 407591 426801 569068 815182 853602 1138136 1222773 1630364 1707204 2445546 3260728 3414408 4541213 4891092 9082426 9782184 13623639 18164852 27247278 36329704 54494556 108989112 513157069 1026314138 1539471207 2052628276 3078942414 4105256552 6157884828 12315769656