Search a number
-
+
26354554380 = 2232571110318461
BaseRepresentation
bin11000100010110110…
…101001011000001100
32112000200202002002200
4120202312221120030
5412433231220010
620035045321500
71622043005340
oct304266513014
975020662080
1026354554380
11101a4505860
125136106290
13264006289b
1413c0229620
15a43a8bcc0
hex622da960c

26354554380 has 288 divisors, whose sum is σ = 100641235968. Its totient is φ = 5422809600.

The previous prime is 26354554367. The next prime is 26354554403. The reversal of 26354554380 is 8345545362.

26354554380 is a `hidden beast` number, since 2 + 63 + 5 + 4 + 554 + 38 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1418350 + ... + 1436810.

It is an arithmetic number, because the mean of its divisors is an integer number (349448736).

Almost surely, 226354554380 is an apocalyptic number.

26354554380 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 26354554380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50320617984).

26354554380 is an abundant number, since it is smaller than the sum of its proper divisors (74286681588).

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

26354554380 is a wasteful number, since it uses less digits than its factorization.

26354554380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18597 (or 18592 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 26354554380 in words is "twenty-six billion, three hundred fifty-four million, five hundred fifty-four thousand, three hundred eighty".