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26423855640 = 2334573133159
BaseRepresentation
bin11000100110111111…
…000000101000011000
32112012112010221120000
4120212333000220120
5413104001340030
620050002533000
71623544032000
oct304677005030
975175127500
1026423855640
111022a639926
125155367160
132651518350
1413c9509000
15a49bca860
hex626fc0a18

26423855640 has 1280 divisors, whose sum is σ = 117089280000. Its totient is φ = 5303854080.

The previous prime is 26423855587. The next prime is 26423855669. The reversal of 26423855640 is 4655832462.

26423855640 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 3 + 85 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 447861931 + ... + 447861989.

It is an arithmetic number, because the mean of its divisors is an integer number (91476000).

Almost surely, 226423855640 is an apocalyptic number.

26423855640 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 26423855640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640000).

26423855640 is an abundant number, since it is smaller than the sum of its proper divisors (90665424360).

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

26423855640 is a wasteful number, since it uses less digits than its factorization.

26423855640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 26423855640 in words is "twenty-six billion, four hundred twenty-three million, eight hundred fifty-five thousand, six hundred forty".