Search a number
-
+
285140755484568 = 23323960288270619
BaseRepresentation
bin100000011010101011000000…
…1011100010000111110011000
31101101121012010111212200100200
41000311112001130100332120
5244333221231401001233
62450235504341102200
7114026511510200454
oct10065260134207630
91341535114780320
10285140755484568
11829445739598a5
1227b922320b7960
13c314872442319
14505ac59a4b664
1522e72733ed313
hex1035581710f98

285140755484568 has 24 divisors (see below), whose sum is σ = 772256212770900. Its totient is φ = 95046918494832.

The previous prime is 285140755484549. The next prime is 285140755484591. The reversal of 285140755484568 is 865484557041582.

285140755484568 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 4 + 0 + 7 + 5 + 54 + 8 + 4 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2851407554845682 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 3960288270619 = 285140755484568 / (2 + 8 + 5 + 1 + 4 + 0 + 7 + 5 + 5 + 4 + 8 + 4 + 5 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 285140755484496 and 285140755484505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1980144135238 + ... + 1980144135381.

Almost surely, 2285140755484568 is an apocalyptic number.

It is an amenable number.

285140755484568 is an abundant number, since it is smaller than the sum of its proper divisors (487115457286332).

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

285140755484568 is a wasteful number, since it uses less digits than its factorization.

285140755484568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960288270631 (or 3960288270624 counting only the distinct ones).

The product of its (nonzero) digits is 1720320000, while the sum is 72.

The spelling of 285140755484568 in words is "two hundred eighty-five trillion, one hundred forty billion, seven hundred fifty-five million, four hundred eighty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3960288270619 7920576541238 11880864811857 15841153082476 23761729623714 31682306164952 35642594435571 47523459247428 71285188871142 95046918494856 142570377742284 285140755484568