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11005916706 = 2321932181043
BaseRepresentation
bin10100100000000000…
…01111011000100010
31001102000120111102200
422100000033120202
5140020003313311
65020034554030
7536510514501
oct122000173042
931360514380
1011005916706
11473860a134
122171a38916
131065219765
147659b0838
1544635c556
hex29000f622

11005916706 has 24 divisors (see below), whose sum is σ = 25101214320. Its totient is φ = 3475552536.

The previous prime is 11005916653. The next prime is 11005916707. The reversal of 11005916706 is 60761950011.

It is a happy number.

11005916706 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 591 + 67 + 0 + 6 = 666.

It is a super-2 number, since 2×110059167062 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005916707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16090180 + ... + 16090863.

It is an arithmetic number, because the mean of its divisors is an integer number (1045883930).

Almost surely, 211005916706 is an apocalyptic number.

11005916706 is an abundant number, since it is smaller than the sum of its proper divisors (14095297614).

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

11005916706 is a wasteful number, since it uses less digits than its factorization.

11005916706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32181070 (or 32181067 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11005916706 in words is "eleven billion, five million, nine hundred sixteen thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 32181043 64362086 96543129 193086258 289629387 579258774 611439817 1222879634 1834319451 3668638902 5502958353 11005916706