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20028625344 = 2632721331719
BaseRepresentation
bin10010101001110011…
…001001000111000000
31220200211101120211200
4102221303021013000
5312004312002334
613111230541200
71306220335500
oct225163110700
956624346750
1020028625344
118548700732
123a6b667800
131b725bb000
14d80017a00
157c3522799
hex4a9cc91c0

20028625344 has 1008 divisors, whose sum is σ = 80630877600. Its totient is φ = 4709892096.

The previous prime is 20028625313. The next prime is 20028625399. The reversal of 20028625344 is 44352682002.

20028625344 is a `hidden beast` number, since 2 + 0 + 0 + 28 + 625 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×200286253442 (a number of 21 digits) contains 22 as substring.

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 = 20028625299 and 20028625308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1054138167 + ... + 1054138185.

It is an arithmetic number, because the mean of its divisors is an integer number (79990950).

Almost surely, 220028625344 is an apocalyptic number.

20028625344 is a gapful number since it is divisible by the number (24) 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 20028625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40315438800).

20028625344 is an abundant number, since it is smaller than the sum of its proper divisors (60602252256).

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

20028625344 is a wasteful number, since it uses less digits than its factorization.

20028625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20028625344 in words is "twenty billion, twenty-eight million, six hundred twenty-five thousand, three hundred forty-four".