Search a number
-
+
86929786008 = 2333132171271103
BaseRepresentation
bin101000011110101101…
…0110100010010011000
322022101021201200022000
41100331122310102120
52411013011123013
6103533543001000
76165125663232
oct1207532642230
9268337650260
1086929786008
113395966395a
1214a20739160
138274a25a00
1442c9259252
1523dba68973
hex143d6b4498

86929786008 has 384 divisors, whose sum is σ = 279289036800. Its totient is φ = 24953370624.

The previous prime is 86929785937. The next prime is 86929786037. The reversal of 86929786008 is 80068792968.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 78811585 + ... + 78812687.

It is an arithmetic number, because the mean of its divisors is an integer number (727315200).

Almost surely, 286929786008 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 86929786008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139644518400).

86929786008 is an abundant number, since it is smaller than the sum of its proper divisors (192359250792).

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

86929786008 is a wasteful number, since it uses less digits than its factorization.

86929786008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 86929786008 in words is "eighty-six billion, nine hundred twenty-nine million, seven hundred eighty-six thousand, eight".