Search a number
-
+
10861326720 = 273353491801
BaseRepresentation
bin10100001110110001…
…01011000110000000
31001000221111120021000
422013120223012000
5134220444423340
64553431532000
7533103516366
oct120730530600
931027446230
1010861326720
114673a32582
12213152a000
13104129315a
147506d3636
154387ead30
hex28762b180

10861326720 has 256 divisors, whose sum is σ = 38598840000. Its totient is φ = 2886451200.

The previous prime is 10861326719. The next prime is 10861326733. The reversal of 10861326720 is 2762316801.

10861326720 is a `hidden beast` number, since 10 + 8 + 613 + 2 + 6 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 6029820 + ... + 6031620.

Almost surely, 210861326720 is an apocalyptic number.

10861326720 is a gapful number since it is divisible by the number (10) 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 10861326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19299420000).

10861326720 is an abundant number, since it is smaller than the sum of its proper divisors (27737513280).

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

10861326720 is a wasteful number, since it uses less digits than its factorization.

10861326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10861326720 in words is "ten billion, eight hundred sixty-one million, three hundred twenty-six thousand, seven hundred twenty".