Search a number
-
+
864180000080 = 24510802250001
BaseRepresentation
bin11001001001101010010…
…01000101010101010000
310001121121012010112212122
430210311021011111100
5103124320040000310
61500555424313412
7116302120541615
oct14446511052520
93047535115778
10864180000080
11303551098781
1211b598172868
13636516cc197
142db8002650c
151772c9c3555
hexc935245550

864180000080 has 20 divisors (see below), whose sum is σ = 2009218500372. Its totient is φ = 345672000000.

The previous prime is 864180000071. The next prime is 864180000137. The reversal of 864180000080 is 80000081468.

It can be written as a sum of positive squares in 2 ways, for example, as 488690476096 + 375489523984 = 699064^2 + 612772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5401124921 + ... + 5401125080.

Almost surely, 2864180000080 is an apocalyptic number.

864180000080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864180000080 is an abundant number, since it is smaller than the sum of its proper divisors (1145038500292).

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

864180000080 is a wasteful number, since it uses less digits than its factorization.

864180000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802250014 (or 10802250008 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 864180000080 in words is "eight hundred sixty-four billion, one hundred eighty million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 10802250001 21604500002 43209000004 54011250005 86418000008 108022500010 172836000016 216045000020 432090000040 864180000080