Search a number
-
+
26091394560 = 2932572112191
BaseRepresentation
bin11000010011001010…
…110001011000000000
32111100100120011200200
4120103022301120000
5411413344111220
615553005045200
71612366123500
oct302312613000
974310504620
1026091394560
1110079a03a00
125081b56800
1325ca69330a
1413972c5a00
15a2a908890
hex6132b1600

26091394560 has 1080 divisors, whose sum is σ = 116144316288. Its totient is φ = 5393203200.

The previous prime is 26091394523. The next prime is 26091394573. The reversal of 26091394560 is 6549319062.

26091394560 is a `hidden beast` number, since 2 + 60 + 9 + 139 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136604065 + ... + 136604255.

Almost surely, 226091394560 is an apocalyptic number.

26091394560 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 26091394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58072158144).

26091394560 is an abundant number, since it is smaller than the sum of its proper divisors (90052921728).

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

26091394560 is a wasteful number, since it uses less digits than its factorization.

26091394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 26091394560 in words is "twenty-six billion, ninety-one million, three hundred ninety-four thousand, five hundred sixty".