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20986902720 = 2632576431619
BaseRepresentation
bin10011100010111010…
…101011100011000000
32000011121120010021100
4103202322223203000
5320440121341340
613350302054400
71342034505210
oct234272534300
960147503240
1020986902720
11899a617703
12409857a400
131c95caa544
1410313c4240
1582c711830
hex4e2eab8c0

20986902720 has 336 divisors, whose sum is σ = 82677853440. Its totient is φ = 4786587648.

The previous prime is 20986902589. The next prime is 20986902721. The reversal of 20986902720 is 2720968902.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20986902721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12962071 + ... + 12963689.

It is an arithmetic number, because the mean of its divisors is an integer number (246065040).

Almost surely, 220986902720 is an apocalyptic number.

20986902720 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 20986902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41338926720).

20986902720 is an abundant number, since it is smaller than the sum of its proper divisors (61690950720).

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

20986902720 is a wasteful number, since it uses less digits than its factorization.

20986902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20986902720 in words is "twenty billion, nine hundred eighty-six million, nine hundred two thousand, seven hundred twenty".