Search a number
-
+
42664247076 = 22311427375641
BaseRepresentation
bin100111101110111111…
…001011111100100100
311002010100022022102010
4213232333023330210
51144334021401301
631333310514220
73040155054663
oct475677137444
9132110268363
1042664247076
1117103945330
128328205970
13403c02b619
1420ca374dda
15119a8585d6
hex9eefcbf24

42664247076 has 48 divisors (see below), whose sum is σ = 108626753088. Its totient is φ = 12925363200.

The previous prime is 42664247033. The next prime is 42664247089. The reversal of 42664247076 is 67074246624.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526216 + ... + 601856.

It is an arithmetic number, because the mean of its divisors is an integer number (2263057356).

Almost surely, 242664247076 is an apocalyptic number.

It is an amenable number.

42664247076 is an abundant number, since it is smaller than the sum of its proper divisors (65962506012).

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

42664247076 is a wasteful number, since it uses less digits than its factorization.

42664247076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79932 (or 79930 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 42664247076 in words is "forty-two billion, six hundred sixty-four million, two hundred forty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 4273 8546 12819 17092 25638 47003 51276 75641 94006 141009 151282 188012 226923 282018 302564 453846 564036 832051 907692 1664102 2496153 3328204 4992306 9984612 323213993 646427986 969641979 1292855972 1939283958 3555353923 3878567916 7110707846 10666061769 14221415692 21332123538 42664247076