Search a number
-
+
26998894080 = 29365172337
BaseRepresentation
bin11001001001010000…
…100110111000000000
32120200121011221000000
4121021100212320000
5420243204102310
620223024000000
71644025545624
oct311120467000
976617157000
1026998894080
11104a5198804
125295a60000
1327136b4392
141441a35184
15a804174c0
hex649426e00

26998894080 has 1120 divisors, whose sum is σ = 110132218944. Its totient is φ = 6306398208.

The previous prime is 26998894061. The next prime is 26998894127. The reversal of 26998894080 is 8049889962.

26998894080 is a `hidden beast` number, since 2 + 69 + 98 + 89 + 408 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26998893999 and 26998894017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 729699822 + ... + 729699858.

Almost surely, 226998894080 is an apocalyptic number.

26998894080 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 26998894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55066109472).

26998894080 is an abundant number, since it is smaller than the sum of its proper divisors (83133324864).

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

26998894080 is an equidigital number, since it uses as much as digits as its factorization.

26998894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 26998894080 in words is "twenty-six billion, nine hundred ninety-eight million, eight hundred ninety-four thousand, eighty".