Search a number
-
+
12066522048 = 26347267709
BaseRepresentation
bin10110011110011100…
…01000001111000000
31011010221021211110000
423033032020033000
5144203012201143
65313203240000
7605006513400
oct131716101700
934127254400
1012066522048
115132267679
122409079000
1311a3b86299
148267b6800
154a9510bd3
hex2cf3883c0

12066522048 has 420 divisors, whose sum is σ = 42289369320. Its totient is φ = 3391331328.

The previous prime is 12066522019. The next prime is 12066522073. The reversal of 12066522048 is 84022566021.

It is a happy number.

12066522048 is a `hidden beast` number, since 120 + 6 + 6 + 522 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×120665220482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17018718 + ... + 17019426.

Almost surely, 212066522048 is an apocalyptic number.

12066522048 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 12066522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144684660).

12066522048 is an abundant number, since it is smaller than the sum of its proper divisors (30222847272).

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

12066522048 is an equidigital number, since it uses as much as digits as its factorization.

12066522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12066522048 in words is "twelve billion, sixty-six million, five hundred twenty-two thousand, forty-eight".