Search a number
-
+
285914233152 = 26322936746639
BaseRepresentation
bin1000010100100011101…
…00001111100101000000
31000022222212001221011200
410022101310033211000
514141023020430102
6335202554141200
726441135611602
oct4122164174500
91008885057150
10285914233152
1110028a149179
12474b4121800
1320c66820822
14dba4501172
157685c8851c
hex4291d0f940

285914233152 has 168 divisors, whose sum is σ = 850109145600. Its totient is φ = 91765675008.

The previous prime is 285914233147. The next prime is 285914233223. The reversal of 285914233152 is 251332419582.

285914233152 is a `hidden beast` number, since 2 + 8 + 591 + 4 + 2 + 3 + 3 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 285914233098 and 285914233107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6107049 + ... + 6153687.

Almost surely, 2285914233152 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 285914233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425054572800).

285914233152 is an abundant number, since it is smaller than the sum of its proper divisors (564194912448).

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

285914233152 is a wasteful number, since it uses less digits than its factorization.

285914233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47053 (or 47040 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 285914233152 in words is "two hundred eighty-five billion, nine hundred fourteen million, two hundred thirty-three thousand, one hundred fifty-two".