Search a number
-
+
458283382854 = 2311211313142643
BaseRepresentation
bin1101010101100111101…
…00010111100001000110
31121210220120000222201020
412222303310113201012
530002031021222404
6550311003212010
745052455324003
oct6526364274106
91553816028636
10458283382854
111673a2027600
127499a217006
13342a655152b
1418276a868aa
15bdc35b3ed9
hex6ab3d17846

458283382854 has 96 divisors (see below), whose sum is σ = 1024164231552. Its totient is φ = 136590854400.

The previous prime is 458283382853. The next prime is 458283382873.

458283382854 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458283382853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10725657 + ... + 10768299.

It is an arithmetic number, because the mean of its divisors is an integer number (10668377412).

Almost surely, 2458283382854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458283382854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512082115776).

458283382854 is an abundant number, since it is smaller than the sum of its proper divisors (565880848698).

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

458283382854 is a wasteful number, since it uses less digits than its factorization.

458283382854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42914 (or 42903 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 458283382854 in words is "four hundred fifty-eight billion, two hundred eighty-three million, three hundred eighty-two thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 113 121 131 226 242 262 339 363 393 678 726 786 1243 1441 2486 2882 3729 4323 7458 8646 13673 14803 15851 27346 29606 31702 41019 42643 44409 47553 82038 85286 88818 95106 127929 162833 255858 325666 469073 488499 938146 976998 1407219 1791163 2814438 3582326 4818659 5159803 5373489 5586233 9637318 10319606 10746978 11172466 14455977 15479409 16758699 28911954 30958818 33517398 53005249 61448563 106010498 122897126 159015747 184345689 318031494 368691378 583057739 631244329 675934193 1166115478 1262488658 1351868386 1749173217 1893732987 2027802579 3498346434 3787465974 4055605158 6943687619 13887375238 20831062857 41662125714 76380563809 152761127618 229141691427 458283382854