Search a number
-
+
20249978112 = 2832713591637
BaseRepresentation
bin10010110110111111…
…100010010100000000
31221021020220110202100
4102312333202110000
5312432443244422
613145215150400
71314545655030
oct226677422400
957236813670
1020249978112
118651648301
123b11815400
131ba9410390
14da15978c0
157d7b987ac
hex4b6fe2500

20249978112 has 432 divisors, whose sum is σ = 73121892480. Its totient is φ = 5246926848.

The previous prime is 20249978071. The next prime is 20249978149. The reversal of 20249978112 is 21187994202.

It is a super-2 number, since 2×202499781122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12369358 + ... + 12370994.

It is an arithmetic number, because the mean of its divisors is an integer number (169263640).

Almost surely, 220249978112 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 20249978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560946240).

20249978112 is an abundant number, since it is smaller than the sum of its proper divisors (52871914368).

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

20249978112 is a wasteful number, since it uses less digits than its factorization.

20249978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20249978112 in words is "twenty billion, two hundred forty-nine million, nine hundred seventy-eight thousand, one hundred twelve".