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20963847168 = 21037112337
BaseRepresentation
bin10011100001100010…
…101110110000000000
32000010000011210000000
4103201202232300000
5320413221102133
613344120000000
71341334521645
oct234142566000
960100153000
1020963847168
1189885aa730
124090900000
131c912973c4
14102c301dcc
1582a6aa413
hex4e18aec00

20963847168 has 704 divisors, whose sum is σ = 73479767040. Its totient is φ = 5912248320.

The previous prime is 20963847127. The next prime is 20963847181. The reversal of 20963847168 is 86174836902.

20963847168 is a `hidden beast` number, since 20 + 96 + 3 + 8 + 471 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 566590446 + ... + 566590482.

Almost surely, 220963847168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20963847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36739883520).

20963847168 is an abundant number, since it is smaller than the sum of its proper divisors (52515919872).

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

20963847168 is an equidigital number, since it uses as much as digits as its factorization.

20963847168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20963847168 in words is "twenty billion, nine hundred sixty-three million, eight hundred forty-seven thousand, one hundred sixty-eight".