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20332233300996 = 22321733222603433
BaseRepresentation
bin1001001111101111101111…
…00010110001110000000100
32122222202001022000212210200
410213313313202301300010
510131110403211112441
6111124255442450500
74165645460336601
oct447676742616004
978882038025720
1020332233300996
116529940702471
122344633963a30
13b464240986c6
1450412a2736a8
15253d4c2677b6
hex127df78b1c04

20332233300996 has 36 divisors (see below), whose sum is σ = 54418624424892. Its totient is φ = 6378739858944.

The previous prime is 20332233300989. The next prime is 20332233300997. The reversal of 20332233300996 is 69900333223302.

20332233300996 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 223 + 330 + 0 + 9 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5984804460996 + 14347428840000 = 2446386^2 + 3787800^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×203322333009962 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20332233300997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16611301105 + ... + 16611302328.

It is an arithmetic number, because the mean of its divisors is an integer number (1511628456247).

Almost surely, 220332233300996 is an apocalyptic number.

It is an amenable number.

20332233300996 is an abundant number, since it is smaller than the sum of its proper divisors (34086391123896).

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

20332233300996 is a wasteful number, since it uses less digits than its factorization.

20332233300996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33222603460 (or 33222603455 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 45.

The spelling of 20332233300996 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-three million, three hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 33222603433 66445206866 99667810299 132890413732 199335620598 299003430897 398671241196 564784258361 598006861794 1129568516722 1196013723588 1694352775083 2259137033444 3388705550166 5083058325249 6777411100332 10166116650498 20332233300996