Search a number
-
+
12288380076 = 2234729832251
BaseRepresentation
bin10110111000111000…
…11100110010101100
31011201101202101110000
423130130130302230
5200131311130301
65351210344300
7613342335660
oct133434346254
934641671400
1012288380076
115236519915
12246b42b090
13120ab2461b
148480488a0
154bdc36786
hex2dc71ccac

12288380076 has 240 divisors, whose sum is σ = 38454071040. Its totient is φ = 3347568000.

The previous prime is 12288380063. The next prime is 12288380087. The reversal of 12288380076 is 67008388221.

12288380076 is a `hidden beast` number, since 122 + 88 + 380 + 0 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5457951 + ... + 5460201.

It is an arithmetic number, because the mean of its divisors is an integer number (160225296).

Almost surely, 212288380076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288380076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227035520).

12288380076 is an abundant number, since it is smaller than the sum of its proper divisors (26165690964).

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

12288380076 is a wasteful number, since it uses less digits than its factorization.

12288380076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12288380076 in words is "twelve billion, two hundred eighty-eight million, three hundred eighty thousand, seventy-six".