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20922043680 = 2532537210613
BaseRepresentation
bin10011011111000011…
…010000110100100000
32000000002111221101200
4103133003100310200
5320322020344210
613340024001200
71340316302616
oct233703206440
960002457350
1020922043680
118966a4809a
12407a900200
131c8571ba05
14102693d6b6
15826b9e0c0
hex4df0d0d20

20922043680 has 216 divisors, whose sum is σ = 73385174772. Its totient is φ = 5427910656.

The previous prime is 20922043651. The next prime is 20922043691. The reversal of 20922043680 is 8634022902.

20922043680 is a `hidden beast` number, since 2 + 0 + 92 + 204 + 368 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20905689744 + 16353936 = 144588^2 + 4044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1966054 + ... + 1976666.

Almost surely, 220922043680 is an apocalyptic number.

20922043680 is a gapful number since it is divisible by the number (20) 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 20922043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36692587386).

20922043680 is an abundant number, since it is smaller than the sum of its proper divisors (52463131092).

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

20922043680 is a wasteful number, since it uses less digits than its factorization.

20922043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20922043680 in words is "twenty billion, nine hundred twenty-two million, forty-three thousand, six hundred eighty".