Search a number
-
+
26401502232 = 2334724361317
BaseRepresentation
bin11000100101101001…
…101111010000011000
32112010222002021110000
4120211221233100120
5413032241032412
620043443453000
71623153031500
oct304551572030
975128067400
1026401502232
1110218a61436
125149987160
1326499bc991
1413c656aa00
15a47c624dc
hex625a6f418

26401502232 has 480 divisors, whose sum is σ = 89747626320. Its totient is φ = 7224215040.

The previous prime is 26401502219. The next prime is 26401502243. The reversal of 26401502232 is 23220510462.

It is a happy number.

26401502232 is a `hidden beast` number, since 2 + 640 + 15 + 0 + 2 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 26401502196 and 26401502205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83285338 + ... + 83285654.

Almost surely, 226401502232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26401502232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44873813160).

26401502232 is an abundant number, since it is smaller than the sum of its proper divisors (63346124088).

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

26401502232 is a wasteful number, since it uses less digits than its factorization.

26401502232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 26401502232 in words is "twenty-six billion, four hundred one million, five hundred two thousand, two hundred thirty-two".