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20573988288 = 2637229731033
BaseRepresentation
bin10011001010010011…
…100010010111000000
31222002211120220011020
4103022103202113000
5314113420111123
613241311545440
71325562005100
oct231223422700
958084526136
1020573988288
1187a8530a07
123ba222b280
131c2b596989
14dd261b200
1580634b7e3
hex4ca4e25c0

20573988288 has 336 divisors, whose sum is σ = 66467918880. Its totient is φ = 5592416256.

The previous prime is 20573988283. The next prime is 20573988299. The reversal of 20573988288 is 88288937502.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×205739882882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20573988283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19916220 + ... + 19917252.

Almost surely, 220573988288 is an apocalyptic number.

20573988288 is a gapful number since it is divisible by the number (28) 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 20573988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33233959440).

20573988288 is an abundant number, since it is smaller than the sum of its proper divisors (45893930592).

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

20573988288 is a wasteful number, since it uses less digits than its factorization.

20573988288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 20573988288 in words is "twenty billion, five hundred seventy-three million, nine hundred eighty-eight thousand, two hundred eighty-eight".