Search a number
-
+
87508979880 = 23357131809983
BaseRepresentation
bin101000101111111110…
…0010001000010101000
322100212122120202220220
41101133330101002220
52413204244324010
6104111233050040
76215361025140
oct1213774210250
9270778522826
1087508979880
11341265a0883
1214b626b6920
138337a1828a
144342147920
152422826970
hex145ff110a8

87508979880 has 256 divisors, whose sum is σ = 303002726400. Its totient is φ = 19804661760.

The previous prime is 87508979837. The next prime is 87508979903. The reversal of 87508979880 is 8897980578.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 89021869 + ... + 89022851.

It is an arithmetic number, because the mean of its divisors is an integer number (1183604400).

Almost surely, 287508979880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87508979880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151501363200).

87508979880 is an abundant number, since it is smaller than the sum of its proper divisors (215493746520).

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

87508979880 is a wasteful number, since it uses less digits than its factorization.

87508979880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 69.

The spelling of 87508979880 in words is "eighty-seven billion, five hundred eight million, nine hundred seventy-nine thousand, eight hundred eighty".