Search a number
-
+
42176000679 = 3291578213761
BaseRepresentation
bin100111010001111000…
…101011001010100111
311000212022120211021020
4213101320223022213
51142334024010204
631213030022223
73022106043051
oct472170531247
9130768524236
1042176000679
111698328660a
1282107a7973
133c91b30327
14208159c8d1
15116ca62bd9
hex9d1e2b2a7

42176000679 has 32 divisors (see below), whose sum is σ = 58631221440. Its totient is φ = 26934835200.

The previous prime is 42176000653. The next prime is 42176000683. The reversal of 42176000679 is 97600067124.

It is not a de Polignac number, because 42176000679 - 219 = 42175476391 is a prime.

It is a super-3 number, since 3×421760006793 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 42176000679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42176000479) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11212159 + ... + 11215919.

It is an arithmetic number, because the mean of its divisors is an integer number (1832225670).

Almost surely, 242176000679 is an apocalyptic number.

42176000679 is a deficient number, since it is larger than the sum of its proper divisors (16455220761).

42176000679 is a wasteful number, since it uses less digits than its factorization.

With its successor (42176000680) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4771).

42176000679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771.

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 42176000679 in words is "forty-two billion, one hundred seventy-six million, six hundred seventy-nine", and thus it is an aban number.

Divisors: 1 3 29 87 157 471 821 2463 3761 4553 11283 13659 23809 71427 109069 128897 327207 386691 590477 1771431 3087781 3738013 9263343 11214039 17123833 51371499 89545649 268636947 484781617 1454344851 14058666893 42176000679