Search a number
-
+
26544116992 = 28593794637
BaseRepresentation
bin11000101110001001…
…110001010100000000
32112111220102212010011
4120232021301110000
5413330243220432
620105540314304
71626534162121
oct305611612400
975456385104
1026544116992
1110291509a78
1251896a2994
132670404203
1413db492048
15a55533847
hex62e271500

26544116992 has 72 divisors (see below), whose sum is σ = 54036410400. Its totient is φ = 13009876992.

The previous prime is 26544116983. The next prime is 26544117007. The reversal of 26544116992 is 29961144562.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5722098 + ... + 5726734.

It is an arithmetic number, because the mean of its divisors is an integer number (750505700).

Almost surely, 226544116992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26544116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27018205200).

26544116992 is an abundant number, since it is smaller than the sum of its proper divisors (27492293408).

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

26544116992 is an equidigital number, since it uses as much as digits as its factorization.

26544116992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5077 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The spelling of 26544116992 in words is "twenty-six billion, five hundred forty-four million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 379 472 758 944 1516 1888 3032 3776 4637 6064 7552 9274 12128 15104 18548 22361 24256 37096 44722 48512 74192 89444 97024 148384 178888 273583 296768 357776 547166 593536 715552 1094332 1187072 1431104 1757423 2188664 2862208 3514846 4377328 5724416 7029692 8754656 14059384 17509312 28118768 35018624 56237536 70037248 103687957 112475072 207375914 224950144 414751828 449900288 829503656 1659007312 3318014624 6636029248 13272058496 26544116992