Search a number
-
+
42516456534 = 23221165916987
BaseRepresentation
bin100111100110001011…
…011010010001010110
311001202001012202220100
4213212023122101112
51144033203102114
631310511114530
73033411626526
oct474613322126
9131661182810
1042516456534
1117038482092
1282a6812a46
1340175242b6
1420b48a3686
15118c8b3909
hex9e62da456

42516456534 has 48 divisors (see below), whose sum is σ = 92701477440. Its totient is φ = 14082752880.

The previous prime is 42516456533. The next prime is 42516456557. The reversal of 42516456534 is 43565461524.

42516456534 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 64 + 56 + 534 = 666.

42516456534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425164565342 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42516456534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516456533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494389 + ... + 2511375.

It is an arithmetic number, because the mean of its divisors is an integer number (1931280780).

Almost surely, 242516456534 is an apocalyptic number.

42516456534 is an abundant number, since it is smaller than the sum of its proper divisors (50185020906).

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

42516456534 is a wasteful number, since it uses less digits than its factorization.

42516456534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865 (or 17862 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 42516456534 in words is "forty-two billion, five hundred sixteen million, four hundred fifty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 211 422 633 659 1266 1318 1899 1977 3798 3954 5931 11862 16987 33974 50961 101922 139049 152883 278098 305766 417147 834294 1251441 2502882 3584257 7168514 10752771 11194433 21505542 22388866 32258313 33583299 64516626 67166598 100749897 201499794 2362025363 4724050726 7086076089 14172152178 21258228267 42516456534