Search a number
-
+
12978206208 = 29361129109
BaseRepresentation
bin11000001011000111…
…11011011000000000
31020111110210012000000
430011203323120000
5203034410044313
65543452000000
7636416634612
oct140543733000
936443705000
1012978206208
11555a94a460
122622460000
1312baa10c76
148b18d4db2
1550e599673
hex3058fb600

12978206208 has 560 divisors, whose sum is σ = 44278304400. Its totient is φ = 3762339840.

The previous prime is 12978206201. The next prime is 12978206221. The reversal of 12978206208 is 80260287921.

12978206208 is a `hidden beast` number, since 12 + 9 + 7 + 8 + 2 + 0 + 620 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978206201) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 119066058 + ... + 119066166.

Almost surely, 212978206208 is an apocalyptic number.

12978206208 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 12978206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22139152200).

12978206208 is an abundant number, since it is smaller than the sum of its proper divisors (31300098192).

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

12978206208 is an equidigital number, since it uses as much as digits as its factorization.

12978206208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12978206208 in words is "twelve billion, nine hundred seventy-eight million, two hundred six thousand, two hundred eight".