Search a number
-
+
215722661568216 = 2331119421285135831
BaseRepresentation
bin110001000011001011011000…
…100111001101111011011000
31001021210212220012012210000020
4301003023120213031323120
5211233400002330140331
62042445342252310440
763303306440503635
oct6103133047157330
91037725805183006
10215722661568216
11628105156390a0
12202405b6a72420
13934a737871b4a
143b3b06539318c
1519e1695019c96
hexc432d89cded8

215722661568216 has 256 divisors, whose sum is σ = 621005595955200. Its totient is φ = 61759454400000.

The previous prime is 215722661568181. The next prime is 215722661568217. The reversal of 215722661568216 is 612865166227512.

It is a happy number.

215722661568216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 215722661568216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215722661568217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6020541421 + ... + 6020577251.

It is an arithmetic number, because the mean of its divisors is an integer number (2425803109200).

Almost surely, 2215722661568216 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 215722661568216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310502797977600).

215722661568216 is an abundant number, since it is smaller than the sum of its proper divisors (405282934386984).

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

215722661568216 is a wasteful number, since it uses less digits than its factorization.

215722661568216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39142 (or 39138 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 215722661568216 in words is "two hundred fifteen trillion, seven hundred twenty-two billion, six hundred sixty-one million, five hundred sixty-eight thousand, two hundred sixteen".