Search a number
-
+
26887706496 = 2732722391993
BaseRepresentation
bin11001000010101000…
…011101011110000000
32120101211222000022100
4121002220131132000
5420031223101441
620204012510400
71641205506600
oct310250353600
976354860270
1026887706496
1110448455942
12526477b400
1326c6654601
141430d70c00
15a757a2cb6
hex642a1d780

26887706496 has 288 divisors, whose sum is σ = 90426304800. Its totient is φ = 7646220288.

The previous prime is 26887706477. The next prime is 26887706507. The reversal of 26887706496 is 69460778862.

26887706496 is a `hidden beast` number, since 2 + 68 + 87 + 7 + 0 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13490076 + ... + 13492068.

It is an arithmetic number, because the mean of its divisors is an integer number (313980225).

Almost surely, 226887706496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26887706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45213152400).

26887706496 is an abundant number, since it is smaller than the sum of its proper divisors (63538598304).

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

26887706496 is a wasteful number, since it uses less digits than its factorization.

26887706496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 26887706496 in words is "twenty-six billion, eight hundred eighty-seven million, seven hundred six thousand, four hundred ninety-six".