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20287749120 = 2103531137311
BaseRepresentation
bin10010111001001111…
…100111110000000000
31221100212222102211120
4102321033213300000
5313022130432440
613153044512240
71315515010422
oct227117476000
957325872746
1020287749120
1186709a6211
123b223ab680
131bb41a64a2
14da65ca812
157db159dd0
hex4b93e7c00

20287749120 has 352 divisors, whose sum is σ = 67688165376. Its totient is φ = 5180620800.

The previous prime is 20287749113. The next prime is 20287749137. The reversal of 20287749120 is 2194778202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65233765 + ... + 65234075.

Almost surely, 220287749120 is an apocalyptic number.

20287749120 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 20287749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33844082688).

20287749120 is an abundant number, since it is smaller than the sum of its proper divisors (47400416256).

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

20287749120 is a wasteful number, since it uses less digits than its factorization.

20287749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 20287749120 in words is "twenty billion, two hundred eighty-seven million, seven hundred forty-nine thousand, one hundred twenty".