Search a number
-
+
285423107184 = 2436371036421
BaseRepresentation
bin1000010011101001000…
…10101111110001110000
31000021201121221011000000
410021310202233301300
514134021303412214
6335042131430000
726423023244505
oct4116442576160
91007647834000
10285423107184
111000579a2a46
1247397755300
1320bb8b54947
14db591b94ac
157657ac4809
hex42748afc70

285423107184 has 280 divisors, whose sum is σ = 859941865952. Its totient is φ = 91656645120.

The previous prime is 285423107087. The next prime is 285423107201. The reversal of 285423107184 is 481701324582.

285423107184 is a `hidden beast` number, since 2 + 8 + 542 + 31 + 0 + 71 + 8 + 4 = 666.

It is a super-2 number, since 2×2854231071842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44448294 + ... + 44454714.

Almost surely, 2285423107184 is an apocalyptic number.

285423107184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285423107184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429970932976).

285423107184 is an abundant number, since it is smaller than the sum of its proper divisors (574518758768).

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

285423107184 is a wasteful number, since it uses less digits than its factorization.

285423107184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 285423107184 in words is "two hundred eighty-five billion, four hundred twenty-three million, one hundred seven thousand, one hundred eighty-four".