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20752832448 = 263429316173
BaseRepresentation
bin10011010100111101…
…110001011111000000
31222120022010010020000
4103110331301133000
5320000211114243
613311141120000
71333163110455
oct232475613700
958508103200
1020752832448
11888a4841a7
1240320b9000
131c5965471a
14100c29382c
15816dc75d3
hex4d4f717c0

20752832448 has 560 divisors, whose sum is σ = 67683644160. Its totient is φ = 6270566400.

The previous prime is 20752832423. The next prime is 20752832461. The reversal of 20752832448 is 84423825702.

It is a super-2 number, since 2×207528324482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284285340 + ... + 284285412.

Almost surely, 220752832448 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 20752832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841822080).

20752832448 is an abundant number, since it is smaller than the sum of its proper divisors (46930811712).

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

20752832448 is a wasteful number, since it uses less digits than its factorization.

20752832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20752832448 in words is "twenty billion, seven hundred fifty-two million, eight hundred thirty-two thousand, four hundred forty-eight".