Search a number
-
+
12066748848 = 2434711120919
BaseRepresentation
bin10110011110011101…
…11111100110110000
31011010221201100120000
423033032333212300
5144203041430343
65313212150000
7605011446540
oct131716774660
934127640500
1012066748848
115132402010
122409168300
1311a3c3559b
14826835320
154a9557ed3
hex2cf3bf9b0

12066748848 has 200 divisors, whose sum is σ = 43542808320. Its totient is φ = 3134194560.

The previous prime is 12066748829. The next prime is 12066748849. The reversal of 12066748848 is 84884766021.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12066748794 and 12066748803.

It is not an unprimeable number, because it can be changed into a prime (12066748849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39333 + ... + 160251.

Almost surely, 212066748848 is an apocalyptic number.

12066748848 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 12066748848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21771404160).

12066748848 is an abundant number, since it is smaller than the sum of its proper divisors (31476059472).

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

12066748848 is a wasteful number, since it uses less digits than its factorization.

12066748848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120957 (or 120942 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12066748848 in words is "twelve billion, sixty-six million, seven hundred forty-eight thousand, eight hundred forty-eight".