Search a number
-
+
26405304264 = 233317193753193
BaseRepresentation
bin11000100101111000…
…001111011111001000
32112011020020102212000
4120211320033133020
5413034224214024
620044101151000
71623230245233
oct304570173710
975136212760
1026405304264
1110220118a09
12514b0bb460
13264a7213c1
1413c6c7a41a
15a48263cc9
hex625e0f7c8

26405304264 has 512 divisors, whose sum is σ = 85987008000. Its totient is φ = 7453016064.

The previous prime is 26405304221. The next prime is 26405304269. The reversal of 26405304264 is 46240350462.

26405304264 is a `hidden beast` number, since 2 + 64 + 0 + 530 + 4 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26405304269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136814952 + ... + 136815144.

It is an arithmetic number, because the mean of its divisors is an integer number (167943375).

Almost surely, 226405304264 is an apocalyptic number.

26405304264 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 26405304264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42993504000).

26405304264 is an abundant number, since it is smaller than the sum of its proper divisors (59581703736).

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

26405304264 is a wasteful number, since it uses less digits than its factorization.

26405304264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 26405304264 in words is "twenty-six billion, four hundred five million, three hundred four thousand, two hundred sixty-four".