Search a number
-
+
10020585816 = 233415463867
BaseRepresentation
bin10010101010100011…
…00000000101011000
3221212100111111120000
421111101200011120
5131010232221231
64334155533000
7503214400623
oct112521400530
927770444500
1010020585816
1142823a548a
121b37a5a160
13c39047427
146b0ba0dba
153d9ac76e6
hex255460158

10020585816 has 40 divisors (see below), whose sum is σ = 28066920420. Its totient is φ = 3340195056.

The previous prime is 10020585811. The next prime is 10020585833. The reversal of 10020585816 is 61858502001.

10020585816 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 58 + 581 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020585811) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7731286 + ... + 7732581.

Almost surely, 210020585816 is an apocalyptic number.

It is an amenable number.

10020585816 is an abundant number, since it is smaller than the sum of its proper divisors (18046334604).

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

10020585816 is a wasteful number, since it uses less digits than its factorization.

10020585816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15463885 (or 15463872 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10020585816 in words is "ten billion, twenty million, five hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15463867 30927734 46391601 61855468 92783202 123710936 139174803 185566404 278349606 371132808 417524409 556699212 835048818 1113398424 1252573227 1670097636 2505146454 3340195272 5010292908 10020585816