Search a number
-
+
12668877960 = 2335105573983
BaseRepresentation
bin10111100110001111…
…11011110010001000
31012200220201200102020
423303013323302020
5201421213043320
65453042004440
7625642454154
oct136307736210
935626650366
1012668877960
115411284582
122556946720
13126b8c82bb
148827b4064
154e2346940
hex2f31fbc88

12668877960 has 32 divisors (see below), whose sum is σ = 38006634240. Its totient is φ = 3378367424.

The previous prime is 12668877941. The next prime is 12668878037. The reversal of 12668877960 is 6977886621.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12668877894 and 12668877903.

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 7 ways as a sum of consecutive naturals, for example, 52786872 + ... + 52787111.

It is an arithmetic number, because the mean of its divisors is an integer number (1187707320).

Almost surely, 212668877960 is an apocalyptic number.

12668877960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12668877960 is an abundant number, since it is smaller than the sum of its proper divisors (25337756280).

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

12668877960 is a wasteful number, since it uses less digits than its factorization.

12668877960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105573997 (or 105573993 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 12668877960 in words is "twelve billion, six hundred sixty-eight million, eight hundred seventy-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 105573983 211147966 316721949 422295932 527869915 633443898 844591864 1055739830 1266887796 1583609745 2111479660 2533775592 3167219490 4222959320 6334438980 12668877960