Search a number
-
+
26294230368 = 2534712711411
BaseRepresentation
bin11000011111010000…
…100001110101100000
32111212111020022010000
4120133100201311200
5412322310332433
620025052340000
71620411161520
oct303720416540
974774208100
1026294230368
11101734534aa
125119a74600
1326307012c3
1413b6205680
15a3d623113
hex61f421d60

26294230368 has 240 divisors, whose sum is σ = 89081524224. Its totient is φ = 7452829440.

The previous prime is 26294230363. The next prime is 26294230373. The reversal of 26294230368 is 86303249262.

It is a happy number.

26294230368 is a `hidden beast` number, since 262 + 9 + 4 + 23 + 0 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (26294230363) and next prime (26294230373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26294230363) 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, 2298583 + ... + 2309993.

Almost surely, 226294230368 is an apocalyptic number.

26294230368 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 26294230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44540762112).

26294230368 is an abundant number, since it is smaller than the sum of its proper divisors (62787293856).

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

26294230368 is a wasteful number, since it uses less digits than its factorization.

26294230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11567 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26294230368 in words is "twenty-six billion, two hundred ninety-four million, two hundred thirty thousand, three hundred sixty-eight".