Search a number
-
+
12354076680 = 23351171193683
BaseRepresentation
bin10111000000101110…
…00100000000001000
31011212222101010020120
423200113010000020
5200300120423210
65401514423240
7615100630161
oct134027040010
934788333216
1012354076680
11526a610730
122489431b20
13121b61745a
14852a6a768
154c48b2270
hex2e05c4008

12354076680 has 256 divisors, whose sum is σ = 41273763840. Its totient is φ = 2933145600.

The previous prime is 12354076661. The next prime is 12354076703. The reversal of 12354076680 is 8667045321.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18087619 + ... + 18088301.

It is an arithmetic number, because the mean of its divisors is an integer number (161225640).

Almost surely, 212354076680 is an apocalyptic number.

12354076680 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 12354076680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636881920).

12354076680 is an abundant number, since it is smaller than the sum of its proper divisors (28919687160).

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

12354076680 is a wasteful number, since it uses less digits than its factorization.

12354076680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12354076680 in words is "twelve billion, three hundred fifty-four million, seventy-six thousand, six hundred eighty".