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460255085796 = 2231119231730469
BaseRepresentation
bin1101011001010010101…
…01110100010011100100
31121222222222010212200010
412230221111310103210
530020100300221141
6551234355450220
745152356452042
oct6545125642344
91558888125603
10460255085796
11168213aa7170
127524a5b6970
133452bb9ba6c
14183c2897392
15be8b737416
hex6b295744e4

460255085796 has 144 divisors (see below), whose sum is σ = 1240405911360. Its totient is φ = 131709507840.

The previous prime is 460255085723. The next prime is 460255085813. The reversal of 460255085796 is 697580552064.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15090450 + ... + 15120918.

It is an arithmetic number, because the mean of its divisors is an integer number (8613929940).

Almost surely, 2460255085796 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 460255085796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620202955680).

460255085796 is an abundant number, since it is smaller than the sum of its proper divisors (780150825564).

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

460255085796 is a wasteful number, since it uses less digits than its factorization.

460255085796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842 (or 30821 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 460255085796 in words is "four hundred sixty billion, two hundred fifty-five million, eighty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 317 361 418 627 634 722 836 951 1083 1254 1268 1444 1902 2166 2508 3487 3804 3971 4332 6023 6974 7942 10461 11913 12046 13948 15884 18069 20922 23826 24092 30469 36138 41844 47652 60938 66253 72276 91407 114437 121876 132506 182814 198759 228874 265012 335159 343311 365628 397518 457748 578911 670318 686622 795036 1005477 1157822 1258807 1340636 1373244 1736733 2010954 2315644 2517614 3473466 3776421 4021908 5035228 6368021 6946932 7552842 9658673 10999309 12736042 15105684 19104063 19317346 21998618 25472084 28976019 32997927 38208126 38634692 43997236 57952038 65995854 76416252 106245403 115904076 120992399 131991708 183514787 212490806 241984798 318736209 362977197 367029574 424981612 483969596 550544361 637472418 725954394 734059148 1101088722 1274944836 1451908788 2018662657 2202177444 3486780953 4037325314 6055987971 6973561906 8074650628 10460342859 12111975942 13947123812 20920685718 24223951884 38354590483 41841371436 76709180966 115063771449 153418361932 230127542898 460255085796