Search a number
-
+
26037378640 = 245713311131021
BaseRepresentation
bin11000001111111100…
…101101111001010000
32111012120220212210001
4120033330231321100
5411311032104030
615543355215344
71611142031620
oct301774557120
974176825701
1026037378640
111005146aa49
125067a47554
1325bc430030
141390064880
15a25cd8cca
hex60ff2de50

26037378640 has 320 divisors, whose sum is σ = 77667028992. Its totient is φ = 7896268800.

The previous prime is 26037378637. The next prime is 26037378641. The reversal of 26037378640 is 4687373062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26037378641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25501330 + ... + 25502350.

Almost surely, 226037378640 is an apocalyptic number.

26037378640 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 26037378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38833514496).

26037378640 is an abundant number, since it is smaller than the sum of its proper divisors (51629650352).

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

26037378640 is a wasteful number, since it uses less digits than its factorization.

26037378640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 26037378640 in words is "twenty-six billion, thirty-seven million, three hundred seventy-eight thousand, six hundred forty".