Search a number
-
+
26115840000 = 21132542267
BaseRepresentation
bin11000010100101000…
…000001100000000000
32111102001120010112100
4120110220001200000
5411441123340000
615555241030400
71613113656135
oct302450014000
974361503470
1026115840000
1110091790148
12508a185400
132602771c83
14139a64a58c
15a2cb36a00
hex614a01800

26115840000 has 360 divisors, whose sum is σ = 94295581380. Its totient is φ = 6961152000.

The previous prime is 26115839947. The next prime is 26115840007. The reversal of 26115840000 is 4851162.

26115840000 is a `hidden beast` number, since 2 + 611 + 5 + 8 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26115840007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11518867 + ... + 11521133.

Almost surely, 226115840000 is an apocalyptic number.

26115840000 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 26115840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47147790690).

26115840000 is an abundant number, since it is smaller than the sum of its proper divisors (68179741380).

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

26115840000 is an equidigital number, since it uses as much as digits as its factorization.

26115840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 26115840000 in words is "twenty-six billion, one hundred fifteen million, eight hundred forty thousand".