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20021788080 = 24325731719251
BaseRepresentation
bin10010101001011001…
…000011110110110000
31220200100112012212200
4102221121003312300
5312001034204310
613110424223200
71306105251000
oct225131036660
956610465780
1020021788080
1185448607a8
123a6930ab00
131b71065ba8
14d7d158000
157c2b219c0
hex4a9643db0

20021788080 has 960 divisors, whose sum is σ = 87744384000. Its totient is φ = 4064256000.

The previous prime is 20021788051. The next prime is 20021788109. The reversal of 20021788080 is 8088712002.

It is an interprime number because it is at equal distance from previous prime (20021788051) and next prime (20021788109).

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 191 ways as a sum of consecutive naturals, for example, 79767955 + ... + 79768205.

It is an arithmetic number, because the mean of its divisors is an integer number (91400400).

Almost surely, 220021788080 is an apocalyptic number.

20021788080 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 20021788080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192000).

20021788080 is an abundant number, since it is smaller than the sum of its proper divisors (67722595920).

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

20021788080 is a wasteful number, since it uses less digits than its factorization.

20021788080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 20021788080 in words is "twenty billion, twenty-one million, seven hundred eighty-eight thousand, eighty".