Search a number
-
+
642217113616 = 241324359179523
BaseRepresentation
bin10010101100001110001…
…11110111100000010000
32021101200012210122002211
421112013013313200100
541010230040113431
61211010325321504
764253511252631
oct11260707674020
92241605718084
10642217113616
112283a98aa941
12a4571266294
134873a153b00
14231250a5888
1511a8b3022b1
hex95871f7810

642217113616 has 240 divisors, whose sum is σ = 1412604230400. Its totient is φ = 282476533248.

The previous prime is 642217113533. The next prime is 642217113649. The reversal of 642217113616 is 616311712246.

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, 1227948331 + ... + 1227948853.

It is an arithmetic number, because the mean of its divisors is an integer number (5885850960).

Almost surely, 2642217113616 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 642217113616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706302115200).

642217113616 is an abundant number, since it is smaller than the sum of its proper divisors (770387116784).

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

642217113616 is a wasteful number, since it uses less digits than its factorization.

642217113616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 819 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The spelling of 642217113616 in words is "six hundred forty-two billion, two hundred seventeen million, one hundred thirteen thousand, six hundred sixteen".