Search a number
-
+
42532033500 = 22335311286411
BaseRepresentation
bin100111100111000110…
…110101001111011100
311001210010112011111000
4213213012311033130
51144101200033000
631312225030300
73033661214445
oct474706651734
9131703464430
1042532033500
1117046251310
1282aba85390
13401a819438
1420b699a2cc
15118de3e000
hex9e71b53dc

42532033500 has 192 divisors, whose sum is σ = 150125713920. Its totient is φ = 10310760000.

The previous prime is 42532033487. The next prime is 42532033507. The reversal of 42532033500 is 533023524.

42532033500 is a `hidden beast` number, since 4 + 2 + 5 + 320 + 335 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532033507) 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, 5295 + ... + 291705.

It is an arithmetic number, because the mean of its divisors is an integer number (781904760).

Almost surely, 242532033500 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 42532033500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062856960).

42532033500 is an abundant number, since it is smaller than the sum of its proper divisors (107593680420).

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

42532033500 is a wasteful number, since it uses less digits than its factorization.

42532033500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286450 (or 286432 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The spelling of 42532033500 in words is "forty-two billion, five hundred thirty-two million, thirty-three thousand, five hundred".