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20448121736 = 2377915313019
BaseRepresentation
bin10011000010110011…
…011001001110001000
31221210001202012201002
4103002303121032020
5313334204343421
613221014114132
71322503111160
oct230263311610
957701665632
1020448121736
118743482569
123b6804b948
131c0b497723
14dbda155a0
157ea287b0b
hex4c2cd9388

20448121736 has 64 divisors (see below), whose sum is σ = 44415744000. Its totient is φ = 8644034880.

The previous prime is 20448121721. The next prime is 20448121741. The reversal of 20448121736 is 63712184402.

It is a self number, because there is not a number n which added to its sum of digits gives 20448121736.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6771635 + ... + 6774653.

It is an arithmetic number, because the mean of its divisors is an integer number (693996000).

Almost surely, 220448121736 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 20448121736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22207872000).

20448121736 is an abundant number, since it is smaller than the sum of its proper divisors (23967622264).

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

20448121736 is a wasteful number, since it uses less digits than its factorization.

20448121736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 20448121736 in words is "twenty billion, four hundred forty-eight million, one hundred twenty-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 1531 2212 3019 3062 4424 6038 6124 10717 12076 12248 21133 21434 24152 42266 42868 84532 85736 120949 169064 238501 241898 477002 483796 846643 954004 967592 1669507 1693286 1908008 3339014 3386572 4622089 6678028 6773144 9244178 13356056 18488356 32354623 36976712 64709246 129418492 258836984 365145031 730290062 1460580124 2556015217 2921160248 5112030434 10224060868 20448121736