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26410199040 = 211345171873
BaseRepresentation
bin11000100110001010…
…111010100000000000
32112011120110010020000
4120212022322200000
5413042002332130
620044354120000
71623316662561
oct304612724000
975146403200
1026410199040
1110222961485
125150880000
13264b746314
1413c7792168
15a488ce260
hex6262ba800

26410199040 has 480 divisors, whose sum is σ = 100284224040. Its totient is φ = 6624903168.

The previous prime is 26410199017. The next prime is 26410199047. The reversal of 26410199040 is 4099101462.

It is a happy number.

26410199040 is a `hidden beast` number, since 2 + 641 + 0 + 1 + 9 + 9 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17322771456 + 9087427584 = 131616^2 + 95328^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×264101990402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26410198986 and 26410199004.

It is not an unprimeable number, because it can be changed into a prime (26410199047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14099544 + ... + 14101416.

Almost surely, 226410199040 is an apocalyptic number.

26410199040 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 26410199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142112020).

26410199040 is an abundant number, since it is smaller than the sum of its proper divisors (73874025000).

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

26410199040 is a wasteful number, since it uses less digits than its factorization.

26410199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 26410199040 in words is "twenty-six billion, four hundred ten million, one hundred ninety-nine thousand, forty".