Search a number
-
+
42780066891 = 31724114832347
BaseRepresentation
bin100111110101111001…
…000000010001001011
311002102102020120022220
4213311321000101023
51200103144120031
631353005145123
73043062366042
oct476571002113
9132372216286
1042780066891
1117163261491
12835ab5b1a3
13405a020963
1420db8c3559
1511a5ad5596
hex9f5e4044b

42780066891 has 32 divisors (see below), whose sum is σ = 60712743168. Its totient is φ = 26701608960.

The previous prime is 42780066881. The next prime is 42780066937. The reversal of 42780066891 is 19866008724.

It is not a de Polignac number, because 42780066891 - 25 = 42780066859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (42780066811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18226380 + ... + 18228726.

It is an arithmetic number, because the mean of its divisors is an integer number (1897273224).

Almost surely, 242780066891 is an apocalyptic number.

42780066891 is a deficient number, since it is larger than the sum of its proper divisors (17932676277).

42780066891 is a wasteful number, since it uses less digits than its factorization.

42780066891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091.

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 42780066891 in words is "forty-two billion, seven hundred eighty million, sixty-six thousand, eight hundred ninety-one".

Divisors: 1 3 17 51 241 723 1483 2347 4097 4449 7041 12291 25211 39899 75633 119697 357403 565627 1072209 1696881 3480601 6075851 9615659 10441803 18227553 28846977 59170217 177510651 838824841 2516474523 14260022297 42780066891