Search a number
-
+
10999039930560 = 2633511711998191
BaseRepresentation
bin1010000000001110100111…
…0111100011000011000000
31102221111110000010002122000
42200003221313203003000
52420202013210234220
635220520021544000
72213440314551133
oct240035167430300
942844400102560
1010999039930560
1135607373295a0
121297830275000
1361a288557c26
142a04dbc6021a
1514119c264390
hexa00e9de30c0

10999039930560 has 896 divisors, whose sum is σ = 43146805248000. Its totient is φ = 2615348736000.

The previous prime is 10999039930519. The next prime is 10999039930633. The reversal of 10999039930560 is 6503993099901.

10999039930560 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 0 + 39 + 9 + 30 + 560 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1342816065 + ... + 1342824255.

Almost surely, 210999039930560 is an apocalyptic number.

10999039930560 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 10999039930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573402624000).

10999039930560 is an abundant number, since it is smaller than the sum of its proper divisors (32147765317440).

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

10999039930560 is a wasteful number, since it uses less digits than its factorization.

10999039930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 15943230, while the sum is 63.

The spelling of 10999039930560 in words is "ten trillion, nine hundred ninety-nine billion, thirty-nine million, nine hundred thirty thousand, five hundred sixty".