Search a number
-
+
42129583748 = 2271504627991
BaseRepresentation
bin100111001111000111…
…100110111010000100
311000202002020121012122
4213033013212322010
51142240133134443
631204251105112
73021003360530
oct471707467204
9130662217178
1042129583748
111695a06290a
1281b9142198
133c8532aaa5
142079358bc0
151168944968
hex9cf1e6e84

42129583748 has 12 divisors (see below), whose sum is σ = 84259167552. Its totient is φ = 18055535880.

The previous prime is 42129583739. The next prime is 42129583777. The reversal of 42129583748 is 84738592124.

42129583748 is an admirable number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42129583748.

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 3 ways as a sum of consecutive naturals, for example, 752313968 + ... + 752314023.

It is an arithmetic number, because the mean of its divisors is an integer number (7021597296).

Almost surely, 242129583748 is an apocalyptic number.

It is an amenable number.

42129583748 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

42129583748 is a wasteful number, since it uses less digits than its factorization.

42129583748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504628002 (or 1504628000 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The spelling of 42129583748 in words is "forty-two billion, one hundred twenty-nine million, five hundred eighty-three thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 1504627991 3009255982 6018511964 10532395937 21064791874 42129583748