Search a number
-
+
10936530000 = 2432541111047
BaseRepresentation
bin10100010111101111…
…00011010001010000
31001020012000021202200
422023313203101100
5134344222430000
65005115443200
7535005654054
oct121367432120
931205007680
1010936530000
114702427950
122152756500
131053a34136
1475a6abc64
15440203500
hex28bde3450

10936530000 has 300 divisors, whose sum is σ = 41727367968. Its totient is φ = 2651040000.

The previous prime is 10936529993. The next prime is 10936530029. The reversal of 10936530000 is 3563901.

10936530000 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 653 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 984477 + ... + 995523.

Almost surely, 210936530000 is an apocalyptic number.

10936530000 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 10936530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20863683984).

10936530000 is an abundant number, since it is smaller than the sum of its proper divisors (30790837968).

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

10936530000 is a wasteful number, since it uses less digits than its factorization.

10936530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 10936530000 in words is "ten billion, nine hundred thirty-six million, five hundred thirty thousand".