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20217234528 = 25363759397
BaseRepresentation
bin10010110101000010…
…101000010001100000
31221011222021221000000
4102311002220101200
5312401103001103
613142045300000
71314000441501
oct226502502140
957158257000
1020217234528
118635113597
123b02864600
131ba26b768a
14d9b0b2ba8
157d4d7baa3
hex4b50a8460

20217234528 has 336 divisors, whose sum is σ = 62485410960. Its totient is φ = 6429570048.

The previous prime is 20217234511. The next prime is 20217234533. The reversal of 20217234528 is 82543271202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20217234492 and 20217234501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50924826 + ... + 50925222.

It is an arithmetic number, because the mean of its divisors is an integer number (185968485).

Almost surely, 220217234528 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 20217234528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31242705480).

20217234528 is an abundant number, since it is smaller than the sum of its proper divisors (42268176432).

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

20217234528 is an equidigital number, since it uses as much as digits as its factorization.

20217234528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20217234528 in words is "twenty billion, two hundred seventeen million, two hundred thirty-four thousand, five hundred twenty-eight".