Search a number
-
+
42630711282 = 2323768393719
BaseRepresentation
bin100111101100111111…
…010000011111110010
311002001000012111221200
4213230333100133302
51144301430230112
631330112032030
73036300031665
oct475477203762
9132030174850
1042630711282
1117096a1a3a5
128318b32616
1340350b9163
1420c5b256dc
151197931cdc
hex9ecfd07f2

42630711282 has 48 divisors (see below), whose sum is σ = 95002839360. Its totient is φ = 13805786016.

The previous prime is 42630711251. The next prime is 42630711289. The reversal of 42630711282 is 28211703624.

It is a happy number.

42630711282 is a `hidden beast` number, since 4 + 2 + 630 + 7 + 1 + 12 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42630711289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408019 + ... + 501737.

It is an arithmetic number, because the mean of its divisors is an integer number (1979225820).

Almost surely, 242630711282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42630711282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47501419680).

42630711282 is an abundant number, since it is smaller than the sum of its proper divisors (52372128078).

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

42630711282 is a wasteful number, since it uses less digits than its factorization.

42630711282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94447 (or 94444 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 42630711282 in words is "forty-two billion, six hundred thirty million, seven hundred eleven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 683 1366 2049 4098 6147 12294 25271 50542 75813 93719 151626 187438 227439 281157 454878 562314 843471 1686942 3467603 6935206 10402809 20805618 31208427 62416854 64010077 128020154 192030231 384060462 576090693 1152181386 2368372849 4736745698 7105118547 14210237094 21315355641 42630711282