Search a number
-
+
26313660000 = 25345437439
BaseRepresentation
bin11000100000011010…
…101001011001100000
32111220211210102120000
4120200122221121200
5412342244110000
620031025020000
71621035263625
oct304032513140
974824712500
1026313660000
1110183414251
125124484600
132634744c24
1413b8a2234c
15a401b0000
hex6206a9660

26313660000 has 600 divisors, whose sum is σ = 99543573360. Its totient is φ = 6811776000.

The previous prime is 26313659969. The next prime is 26313660019. The reversal of 26313660000 is 6631362.

26313660000 is a `hidden beast` number, since 26 + 3 + 1 + 36 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 99 ways as a sum of consecutive naturals, for example, 59939781 + ... + 59940219.

Almost surely, 226313660000 is an apocalyptic number.

26313660000 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 26313660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49771786680).

26313660000 is an abundant number, since it is smaller than the sum of its proper divisors (73229913360).

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

26313660000 is an equidigital number, since it uses as much as digits as its factorization.

26313660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 26313660000 in words is "twenty-six billion, three hundred thirteen million, six hundred sixty thousand".