Search a number
-
+
42546026250 = 2335472131979
BaseRepresentation
bin100111100111111100…
…001101011100001010
311001211002212001221000
4213213330031130022
51144113240320000
631313444555430
73034221153600
oct474774153412
9131732761830
1042546026250
1117053139272
1282b46b2b76
1340206a8480
1420b879d870
1511902a5000
hex9e7f0d70a

42546026250 has 480 divisors, whose sum is σ = 148081348800. Its totient is φ = 8972208000.

The previous prime is 42546026249. The next prime is 42546026261. The reversal of 42546026250 is 5262064524.

42546026250 is a `hidden beast` number, since 4 + 2 + 546 + 0 + 2 + 62 + 50 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21497761 + ... + 21499739.

It is an arithmetic number, because the mean of its divisors is an integer number (308502810).

Almost surely, 242546026250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42546026250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74040674400).

42546026250 is an abundant number, since it is smaller than the sum of its proper divisors (105535322550).

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

42546026250 is a wasteful number, since it uses less digits than its factorization.

42546026250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42546026250 in words is "forty-two billion, five hundred forty-six million, twenty-six thousand, two hundred fifty".