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20037675840 = 2635731331151
BaseRepresentation
bin10010101010010101…
…101010101101000000
31220201110102101210020
4102222111222231000
5312014121111330
613112152533440
71306360302000
oct225225525500
956643371706
1020037675840
118552822486
123a726b1280
131b74439630
14d812d2000
157c420e210
hex4aa56ab40

20037675840 has 896 divisors, whose sum is σ = 83022643200. Its totient is φ = 4064256000.

The previous prime is 20037675797. The next prime is 20037675851. The reversal of 20037675840 is 4857673002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20037675792 and 20037675801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132699765 + ... + 132699915.

It is an arithmetic number, because the mean of its divisors is an integer number (92659200).

Almost surely, 220037675840 is an apocalyptic number.

20037675840 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 20037675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511321600).

20037675840 is an abundant number, since it is smaller than the sum of its proper divisors (62984967360).

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

20037675840 is a wasteful number, since it uses less digits than its factorization.

20037675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 20037675840 in words is "twenty billion, thirty-seven million, six hundred seventy-five thousand, eight hundred forty".