Search a number
-
+
42292059876 = 223411217233189
BaseRepresentation
bin100111011000110011…
…011001111011100100
311001011101222020120000
4213120303121323210
51143103231404001
631232333341300
73025015402053
oct473063317344
9131141866500
1042292059876
1116a32846600
128243637830
133cacba7601
142092b7039a
151177d3aa86
hex9d8cd9ee4

42292059876 has 720 divisors, whose sum is σ = 140155868160. Its totient is φ = 11039846400.

The previous prime is 42292059863. The next prime is 42292059881. The reversal of 42292059876 is 67895029224.

42292059876 is a `hidden beast` number, since 4 + 2 + 29 + 20 + 598 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 475191640 + ... + 475191728.

It is an arithmetic number, because the mean of its divisors is an integer number (194660928).

Almost surely, 242292059876 is an apocalyptic number.

42292059876 is a gapful number since it is divisible by the number (46) 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 42292059876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70077934080).

42292059876 is an abundant number, since it is smaller than the sum of its proper divisors (97863808284).

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

42292059876 is a wasteful number, since it uses less digits than its factorization.

42292059876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 42292059876 in words is "forty-two billion, two hundred ninety-two million, fifty-nine thousand, eight hundred seventy-six".