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20275384320 = 21233537991
BaseRepresentation
bin10010111000100000…
…011101000000000000
31221100000201020112000
4102320200131000000
5313010444244240
613151523504000
71315304631432
oct227040350000
957300636460
1020275384320
118664a20374
123b1a228000
131bb1767439
14da4acc652
157da016430
hex4b881d000

20275384320 has 416 divisors, whose sum is σ = 74104304640. Its totient is φ = 5255331840.

The previous prime is 20275384277. The next prime is 20275384321. The reversal of 20275384320 is 2348357202.

20275384320 is a `hidden beast` number, since 2 + 0 + 275 + 384 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×202753843202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20275384321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20459025 + ... + 20460015.

Almost surely, 220275384320 is an apocalyptic number.

20275384320 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 20275384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37052152320).

20275384320 is an abundant number, since it is smaller than the sum of its proper divisors (53828920320).

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

20275384320 is an equidigital number, since it uses as much as digits as its factorization.

20275384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 20275384320 in words is "twenty billion, two hundred seventy-five million, three hundred eighty-four thousand, three hundred twenty".