Search a number
-
+
2159390016 = 2634728501
BaseRepresentation
bin1000000010110101…
…1010110101000000
312120111021101020000
42000231122311000
513410300440031
6554135120000
7104340340500
oct20055326500
95514241200
102159390016
11a08a12753
12503213000
132854b3294
14166b09a00
15c98993e6
hex80b5ad40

2159390016 has 210 divisors, whose sum is σ = 7447063338. Its totient is φ = 616896000.

The previous prime is 2159390011. The next prime is 2159390053. The reversal of 2159390016 is 6100939512.

It can be written as a sum of positive squares in only one way, i.e., 1390991616 + 768398400 = 37296^2 + 27720^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159390011) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 249766 + ... + 258266.

Almost surely, 22159390016 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 2159390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723531669).

2159390016 is an abundant number, since it is smaller than the sum of its proper divisors (5287673322).

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

2159390016 is an equidigital number, since it uses as much as digits as its factorization.

2159390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2159390016 is about 46469.2373081375. The cubic root of 2159390016 is about 1292.5391200917.

The spelling of 2159390016 in words is "two billion, one hundred fifty-nine million, three hundred ninety thousand, sixteen".