Search a number
-
+
2646000000 = 27335672
BaseRepresentation
bin1001110110110110…
…1100000110000000
320211101220201122000
42131231230012000
520404334000000
61114320544000
7122366425500
oct23555540600
96741821560
102646000000
111138663a66
1261a182000
1333225a797
141b15b7a00
1510746a000
hex9db6c180

2646000000 has 672 divisors, whose sum is σ = 11355323400. Its totient is φ = 604800000.

The previous prime is 2645999987. The next prime is 2646000023. The reversal of 2646000000 is 6462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2646000000 is a `hidden beast` number, since 2 + 64 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 377999997 + ... + 378000003.

Almost surely, 22646000000 is an apocalyptic number.

2646000000 is a gapful number since it is divisible by the number (20) 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 2646000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677661700).

2646000000 is an abundant number, since it is smaller than the sum of its proper divisors (8709323400).

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

2646000000 is an frugal number, since it uses more digits than its factorization.

2646000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2646000000 is about 51439.2845984467. The cubic root of 2646000000 is about 1383.1308876175.

Adding to 2646000000 its reverse (6462), we get a palindrome (2646006462).

The spelling of 2646000000 in words is "two billion, six hundred forty-six million", and thus it is an aban number.