Search a number
-
+
87584020191 = 3230893150391
BaseRepresentation
bin101000110010001101…
…0100001011011011111
322101001212210012212200
41101210122201123133
52413333002121231
6104122513302543
76220261613433
oct1214432413337
9271055705780
1087584020191
1134164994768
1214b83864a53
13834a430025
14434c0bc9c3
1524291eabe6
hex14646a16df

87584020191 has 12 divisors (see below), whose sum is σ = 126551246640. Its totient is φ = 58370425920.

The previous prime is 87584020169. The next prime is 87584020207. The reversal of 87584020191 is 19102048578.

87584020191 is a `hidden beast` number, since 8 + 7 + 58 + 402 + 0 + 191 = 666.

It is not a de Polignac number, because 87584020191 - 214 = 87584003807 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87584020291) 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 11 ways as a sum of consecutive naturals, for example, 1547395 + ... + 1602996.

It is an arithmetic number, because the mean of its divisors is an integer number (10545937220).

Almost surely, 287584020191 is an apocalyptic number.

87584020191 is a deficient number, since it is larger than the sum of its proper divisors (38967226449).

87584020191 is a wasteful number, since it uses less digits than its factorization.

87584020191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153486 (or 3153483 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 87584020191 in words is "eighty-seven billion, five hundred eighty-four million, twenty thousand, one hundred ninety-one".

Divisors: 1 3 9 3089 9267 27801 3150391 9451173 28353519 9731557799 29194673397 87584020191