Search a number
-
+
12010386780 = 22355717191093
BaseRepresentation
bin10110010111101111…
…11111010101011100
31011000000122212100000
423023313333111130
5144044124334110
65303440134300
7603425413620
oct131367772534
934000585300
1012010386780
115103606397
1223b2307390
131195360452
1481d163180
154a46231c0
hex2cbdff55c

12010386780 has 576 divisors, whose sum is σ = 48168207360. Its totient is φ = 2445520896.

The previous prime is 12010386727. The next prime is 12010386793. The reversal of 12010386780 is 8768301021.

12010386780 is a `hidden beast` number, since 1 + 201 + 0 + 386 + 78 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10987914 + ... + 10989006.

It is an arithmetic number, because the mean of its divisors is an integer number (83625360).

Almost surely, 212010386780 is an apocalyptic number.

12010386780 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 12010386780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084103680).

12010386780 is an abundant number, since it is smaller than the sum of its proper divisors (36157820580).

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

12010386780 is a wasteful number, since it uses less digits than its factorization.

12010386780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12010386780 in words is "twelve billion, ten million, three hundred eighty-six thousand, seven hundred eighty".