Search a number
-
+
26230876672 = 2971113231127
BaseRepresentation
bin11000011011011110…
…110110101000000000
32111201002000121011211
4120123132312220000
5412210101023142
620014510415504
71616011526050
oct303336665000
974632017154
1026230876672
1110140711980
125100801594
13262054ba00
1413aba33560
15a37cab917
hex61b7b6a00

26230876672 has 480 divisors, whose sum is σ = 73613574144. Its totient is φ = 9057484800.

The previous prime is 26230876667. The next prime is 26230876691. The reversal of 26230876672 is 27667803262.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206542273 + ... + 206542399.

Almost surely, 226230876672 is an apocalyptic number.

26230876672 is a gapful number since it is divisible by the number (22) 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 26230876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36806787072).

26230876672 is an abundant number, since it is smaller than the sum of its proper divisors (47382697472).

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

26230876672 is a wasteful number, since it uses less digits than its factorization.

26230876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 26230876672 in words is "twenty-six billion, two hundred thirty million, eight hundred seventy-six thousand, six hundred seventy-two".