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26212940208 = 243271319127829
BaseRepresentation
bin11000011010011010…
…011011100110110000
32111122211021022222100
4120122122123212300
5412141003041313
620013030140400
71615403213130
oct303232334660
974584238870
1026212940208
1110131580a54
1250b67b1700
13261990b910
1413a94c4ac0
15a36417173
hex61a69b9b0

26212940208 has 480 divisors, whose sum is σ = 95904972800. Its totient is φ = 6490036224.

The previous prime is 26212940197. The next prime is 26212940233. The reversal of 26212940208 is 80204921262.

26212940208 is a `hidden beast` number, since 2 + 621 + 2 + 9 + 4 + 0 + 20 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31619538 + ... + 31620366.

Almost surely, 226212940208 is an apocalyptic number.

26212940208 is a gapful number since it is divisible by the number (28) 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 26212940208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47952486400).

26212940208 is an abundant number, since it is smaller than the sum of its proper divisors (69692032592).

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

26212940208 is a wasteful number, since it uses less digits than its factorization.

26212940208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26212940208 in words is "twenty-six billion, two hundred twelve million, nine hundred forty thousand, two hundred eight".