Search a number
-
+
12055894080 = 2635176071217
BaseRepresentation
bin10110011101001011…
…00101100001000000
31011010012021212121120
423032211211201000
5144142302102310
65312143352240
7604520260146
oct131645454100
934105255546
1012055894080
11512726872a
1224055b2680
1311a1904949
1482520b596
154a8611b70
hex2ce965840

12055894080 has 224 divisors, whose sum is σ = 40629206016. Its totient is φ = 3018326016.

The previous prime is 12055894057. The next prime is 12055894087. The reversal of 12055894080 is 8049855021.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12055894087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9905632 + ... + 9906848.

It is an arithmetic number, because the mean of its divisors is an integer number (181380384).

Almost surely, 212055894080 is an apocalyptic number.

12055894080 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 12055894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314603008).

12055894080 is an abundant number, since it is smaller than the sum of its proper divisors (28573311936).

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

12055894080 is a wasteful number, since it uses less digits than its factorization.

12055894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 12055894080 in words is "twelve billion, fifty-five million, eight hundred ninety-four thousand, eighty".