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20714801328 = 24351323103173
BaseRepresentation
bin10011010010101100…
…101100100010110000
31222110122112221100000
4103102230230202300
5314410442120303
613303302030000
71332221622534
oct232254544260
958418487300
1020714801328
11886aa68921
124021418300
131c517ca0c0
1410071d3bc4
158138b3da3
hex4d2b2c8b0

20714801328 has 480 divisors, whose sum is σ = 68609608704. Its totient is φ = 6002574336.

The previous prime is 20714801323. The next prime is 20714801329. The reversal of 20714801328 is 82310841702.

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

It is a junction number, because it is equal to n+sod(n) for n = 20714801292 and 20714801301.

It is not an unprimeable number, because it can be changed into a prime (20714801323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119738650 + ... + 119738822.

Almost surely, 220714801328 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 20714801328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34304804352).

20714801328 is an abundant number, since it is smaller than the sum of its proper divisors (47894807376).

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

20714801328 is a wasteful number, since it uses less digits than its factorization.

20714801328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20714801328 in words is "twenty billion, seven hundred fourteen million, eight hundred one thousand, three hundred twenty-eight".