Search a number
-
+
26361060264 = 233271114593259
BaseRepresentation
bin11000100011001111…
…011101101110101000
32112001010222121111100
4120203033131232220
5412441412412024
620035441001400
71622152213050
oct304317355650
975033877440
1026361060264
11101a8149820
125138323260
1326414ccc16
1413c1040560
15a444247c9
hex6233ddba8

26361060264 has 192 divisors, whose sum is σ = 89099712000. Its totient is φ = 6840236160.

The previous prime is 26361060227. The next prime is 26361060361. The reversal of 26361060264 is 46206016362.

26361060264 is a `hidden beast` number, since 2 + 6 + 36 + 10 + 602 + 6 + 4 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8087067 + ... + 8090325.

It is an arithmetic number, because the mean of its divisors is an integer number (464061000).

Almost surely, 226361060264 is an apocalyptic number.

26361060264 is a gapful number since it is divisible by the number (24) 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 26361060264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44549856000).

26361060264 is an abundant number, since it is smaller than the sum of its proper divisors (62738651736).

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

26361060264 is a wasteful number, since it uses less digits than its factorization.

26361060264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26361060264 in words is "twenty-six billion, three hundred sixty-one million, sixty thousand, two hundred sixty-four".