Search a number
-
+
42743848328568 = 23321075548266917
BaseRepresentation
bin10011011100000000100111…
…11001010101110101111000
312121100021100021122010212200
421232000103321111311320
521100303400133003233
6230524130340310200
712001066260031662
oct1156002371256570
9177307307563780
1042743848328568
111268a623062822
1249640643a2360
131ab095c7070ca
14a7ab5598d532
154e1ceb54e313
hex26e013e55d78

42743848328568 has 48 divisors (see below), whose sum is σ = 116846501293080. Its totient is φ = 14114791034304.

The previous prime is 42743848328549. The next prime is 42743848328591. The reversal of 42743848328568 is 86582384834724.

It is a happy number.

42743848328568 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 3 + 8 + 483 + 2 + 85 + 68 = 666.

42743848328568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42743848328496 and 42743848328505.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2774125755 + ... + 2774141162.

Almost surely, 242743848328568 is an apocalyptic number.

It is an amenable number.

42743848328568 is an abundant number, since it is smaller than the sum of its proper divisors (74102652964512).

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

42743848328568 is a wasteful number, since it uses less digits than its factorization.

42743848328568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548267036 (or 5548267029 counting only the distinct ones).

The product of its digits is 1981808640, while the sum is 72.

The spelling of 42743848328568 in words is "forty-two trillion, seven hundred forty-three billion, eight hundred forty-eight million, three hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 5548266917 11096533834 16644800751 22193067668 33289601502 44386135336 49934402253 66579203004 99868804506 133158406008 199737609012 399475218024 593664560119 1187329120238 1780993680357 2374658240476 3561987360714 4749316480952 5342981041071 7123974721428 10685962082142 14247949442856 21371924164284 42743848328568