Search a number
-
+
86706436740 = 2235711411672741
BaseRepresentation
bin101000011000000011…
…0110011101010000100
322021210201110100200220
41100300012303222010
52410033321433430
6103455443504340
76156444360210
oct1206006635204
9267721410626
1086706436740
1133854583290
12149799880b0
13823a684991
1442a7719940
1523c714b110
hex14301b3a84

86706436740 has 384 divisors, whose sum is σ = 312037318656. Its totient is φ = 17465856000.

The previous prime is 86706436717. The next prime is 86706436753. The reversal of 86706436740 is 4763460768.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31631770 + ... + 31634510.

It is an arithmetic number, because the mean of its divisors is an integer number (812597184).

Almost surely, 286706436740 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 86706436740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156018659328).

86706436740 is an abundant number, since it is smaller than the sum of its proper divisors (225330881916).

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

86706436740 is a wasteful number, since it uses less digits than its factorization.

86706436740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 86706436740 in words is "eighty-six billion, seven hundred six million, four hundred thirty-six thousand, seven hundred forty".