Search a number
-
+
42524646570 = 23357210872957
BaseRepresentation
bin100111100110101010…
…101001110010101010
311001202121121212112000
4213212222221302222
51144042302142240
631311402431430
73033541350300
oct474652516252
9131677555460
1042524646570
111704206640a
1282a9502576
134019131083
1420b59d6270
15118d480430
hex9e6aa9caa

42524646570 has 192 divisors, whose sum is σ = 132079196160. Its totient is φ = 9707693184.

The previous prime is 42524646523. The next prime is 42524646589. The reversal of 42524646570 is 7564642524.

42524646570 is a `hidden beast` number, since 4 + 2 + 524 + 64 + 65 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14379532 + ... + 14382488.

It is an arithmetic number, because the mean of its divisors is an integer number (687912480).

Almost surely, 242524646570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42524646570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66039598080).

42524646570 is an abundant number, since it is smaller than the sum of its proper divisors (89554549590).

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

42524646570 is a wasteful number, since it uses less digits than its factorization.

42524646570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 42524646570 in words is "forty-two billion, five hundred twenty-four million, six hundred forty-six thousand, five hundred seventy".