Search a number
-
+
26094514944 = 2832341137263
BaseRepresentation
bin11000010011010110…
…101011001100000000
32111100120102201001110
4120103112223030000
5411420143434234
615553200003320
71612434501021
oct302326531400
974316381043
1026094514944
1110080745333
125083000540
1325cb2166b4
141397898c48
15a2ad231e9
hex6135ab300

26094514944 has 288 divisors, whose sum is σ = 75062744064. Its totient is φ = 8027176960.

The previous prime is 26094514891. The next prime is 26094514949. The reversal of 26094514944 is 44941549062.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 26094514893 and 26094514902.

It is not an unprimeable number, because it can be changed into a prime (26094514949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99218557 + ... + 99218819.

It is an arithmetic number, because the mean of its divisors is an integer number (260634528).

Almost surely, 226094514944 is an apocalyptic number.

26094514944 is a gapful number since it is divisible by the number (24) 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 26094514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37531372032).

26094514944 is an abundant number, since it is smaller than the sum of its proper divisors (48968229120).

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

26094514944 is a wasteful number, since it uses less digits than its factorization.

26094514944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 26094514944 in words is "twenty-six billion, ninety-four million, five hundred fourteen thousand, nine hundred forty-four".