Search a number
-
+
460543860832 = 251127717412713
BaseRepresentation
bin1101011001110101000…
…11011010000001100000
31122000202002112011112211
412230322203122001200
530021143212021312
6551323153131504
745162464140546
oct6547243320140
91560662464484
10460543860832
11168352004120
127530b259b94
1334576969573
141840cd87d96
15bea6c7a3a7
hex6b3a8da060

460543860832 has 96 divisors (see below), whose sum is σ = 993629748384. Its totient is φ = 208385740800.

The previous prime is 460543860827. The next prime is 460543860869. The reversal of 460543860832 is 238068345064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169753108 + ... + 169755820.

It is an arithmetic number, because the mean of its divisors is an integer number (10350309879).

Almost surely, 2460543860832 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 460543860832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496814874192).

460543860832 is an abundant number, since it is smaller than the sum of its proper divisors (533085887552).

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

460543860832 is a wasteful number, since it uses less digits than its factorization.

460543860832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 460543860832 in words is "four hundred sixty billion, five hundred forty-three million, eight hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 277 352 554 1108 1741 2216 2713 3047 3482 4432 5426 6094 6964 8864 10852 12188 13928 19151 21704 24376 27856 29843 38302 43408 48752 55712 59686 76604 86816 97504 119372 153208 238744 306416 477488 482257 612832 751501 954976 964514 1503002 1929028 3006004 3858056 4723333 5304827 6012008 7716112 8266511 9446666 10609654 12024016 15432224 16533022 18893332 21219308 24048032 33066044 37786664 42438616 51956663 66132088 75573328 84877232 103913326 132264176 151146656 169754464 207826652 264528352 415653304 831306608 1308363241 1662613216 2616726482 5233452964 10466905928 14391995651 20933811856 28783991302 41867623712 57567982604 115135965208 230271930416 460543860832