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20252737320480 = 2534571714818867
BaseRepresentation
bin1001001101011011101010…
…01101101011011000100000
32122201010212002022122120000
410212231311031223120200
510123310101223223410
6111023551252020000
74160132465552550
oct446556515533040
978633762278500
1020252737320480
1164a9157258715
122331148901600
13b3ba954c5392
14500348419160
15251c48157dc0
hex126b7536b620

20252737320480 has 960 divisors, whose sum is σ = 86559263062272. Its totient is φ = 4353458503680.

The previous prime is 20252737320469. The next prime is 20252737320547. The reversal of 20252737320480 is 8402373725202.

20252737320480 is a `hidden beast` number, since 2 + 0 + 252 + 7 + 37 + 320 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2284053007 + ... + 2284061873.

Almost surely, 220252737320480 is an apocalyptic number.

20252737320480 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 20252737320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43279631531136).

20252737320480 is an abundant number, since it is smaller than the sum of its proper divisors (66306525741792).

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

20252737320480 is a wasteful number, since it uses less digits than its factorization.

20252737320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 20252737320480 in words is "twenty trillion, two hundred fifty-two billion, seven hundred thirty-seven million, three hundred twenty thousand, four hundred eighty".