Search a number
-
+
12679668000 = 253253438191
BaseRepresentation
bin10111100111100010…
…00110000100100000
31012201200000212120100
423303301012010200
5201431443334000
65454105142400
7626133254046
oct136361060440
935650025510
1012679668000
11541738426a
12255a48aa00
131270c0563c
14883dc2396
154e3278a00
hex2f3c46120

12679668000 has 288 divisors, whose sum is σ = 46052278272. Its totient is φ = 3302208000.

The previous prime is 12679667947. The next prime is 12679668041. The reversal of 12679668000 is 86697621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543905 + ... + 1552095.

It is an arithmetic number, because the mean of its divisors is an integer number (159903744).

Almost surely, 212679668000 is an apocalyptic number.

12679668000 is a gapful number since it is divisible by the number (10) 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 12679668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23026139136).

12679668000 is an abundant number, since it is smaller than the sum of its proper divisors (33372610272).

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

12679668000 is a wasteful number, since it uses less digits than its factorization.

12679668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12679668000 in words is "twelve billion, six hundred seventy-nine million, six hundred sixty-eight thousand".