Search a number
-
+
26403120480 = 253511192311443
BaseRepresentation
bin11000100101101111…
…111010010101100000
32112011002010111021010
4120211233322111200
5413033144323410
620043542300520
71623202551432
oct304557722540
975132114233
1026403120480
1110219967230
12514a427740
13264a138419
1413c686c652
15a47e81c20
hex625bfa560

26403120480 has 384 divisors, whose sum is σ = 99667169280. Its totient is φ = 5799720960.

The previous prime is 26403120479. The next prime is 26403120493. The reversal of 26403120480 is 8402130462.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301639 + ... + 2313081.

It is an arithmetic number, because the mean of its divisors is an integer number (259549920).

Almost surely, 226403120480 is an apocalyptic number.

26403120480 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 26403120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49833584640).

26403120480 is an abundant number, since it is smaller than the sum of its proper divisors (73264048800).

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

26403120480 is a wasteful number, since it uses less digits than its factorization.

26403120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11514 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 26403120480 in words is "twenty-six billion, four hundred three million, one hundred twenty thousand, four hundred eighty".