Search a number
-
+
285083697052 = 2271121923173103
BaseRepresentation
bin1000010011000000100…
…11111111111110011100
31000020211222021022211101
410021200103333332130
514132322411301202
6334544325002444
726411432304550
oct4114023777634
91006758238741
10285083697052
11aa9a3351100
1247301b53424
1320b6373894b
14db260a7860
157637dcd887
hex42604fff9c

285083697052 has 432 divisors, whose sum is σ = 698843099136. Its totient is φ = 99461260800.

The previous prime is 285083697007. The next prime is 285083697061. The reversal of 285083697052 is 250796380582.

It is a junction number, because it is equal to n+sod(n) for n = 285083696984 and 285083697002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2767802833 + ... + 2767802935.

Almost surely, 2285083697052 is an apocalyptic number.

285083697052 is a gapful number since it is divisible by the number (22) 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 285083697052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349421549568).

285083697052 is an abundant number, since it is smaller than the sum of its proper divisors (413759402084).

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

285083697052 is a wasteful number, since it uses less digits than its factorization.

285083697052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 285083697052 in words is "two hundred eighty-five billion, eighty-three million, six hundred ninety-seven thousand, fifty-two".