Search a number
-
+
42722180592 = 24371323312273
BaseRepresentation
bin100111110010011100…
…001011110111110000
311002021101022122020220
4213302130023313300
51144443334234332
631343140333040
73041460354240
oct476234136760
9132241278226
1042722180592
1117133614673
1283436a4180
13404b033b00
1420d3d35b20
1511a099dd2c
hex9f270bdf0

42722180592 has 240 divisors, whose sum is σ = 137053870848. Its totient is φ = 11228405760.

The previous prime is 42722180591. The next prime is 42722180603. The reversal of 42722180592 is 29508122724.

It is a super-2 number, since 2×427221805922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42722180591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18794368 + ... + 18796640.

Almost surely, 242722180592 is an apocalyptic number.

42722180592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42722180592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68526935424).

42722180592 is an abundant number, since it is smaller than the sum of its proper divisors (94331690256).

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

42722180592 is a wasteful number, since it uses less digits than its factorization.

42722180592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 42722180592 in words is "forty-two billion, seven hundred twenty-two million, one hundred eighty thousand, five hundred ninety-two".