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460464740428 = 2271121131322637
BaseRepresentation
bin1101011001101011101…
…01100101100001001100
31122000112120122102202111
412230311311211201030
530021012433143203
6551311245233404
745160513500040
oct6546565454114
91560476572674
10460464740428
11168311383860
12752a8862864
1334563456664
1418402670020
15be9ed4c26d
hex6b35d6584c

460464740428 has 96 divisors (see below), whose sum is σ = 1012681410048. Its totient is φ = 177973286400.

The previous prime is 460464740387. The next prime is 460464740443. The reversal of 460464740428 is 824047464064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20329926 + ... + 20352562.

It is an arithmetic number, because the mean of its divisors is an integer number (10548764688).

Almost surely, 2460464740428 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 460464740428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506340705024).

460464740428 is an abundant number, since it is smaller than the sum of its proper divisors (552216669620).

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

460464740428 is a wasteful number, since it uses less digits than its factorization.

460464740428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23183 (or 23181 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 49.

The spelling of 460464740428 in words is "four hundred sixty billion, four hundred sixty-four million, seven hundred forty thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 211 308 313 422 626 844 1252 1477 2191 2321 2954 3443 4382 4642 5908 6886 8764 9284 13772 16247 22637 24101 32494 45274 48202 64988 66043 90548 96404 132086 158459 249007 264172 316918 462301 498014 633836 726473 924602 996028 1452946 1743049 1849204 2905892 3486098 4776407 5085311 6972196 7085381 9552814 10170622 14170762 19105628 20341244 28341524 33434849 49597667 52540477 66869698 77939191 99195334 105080954 133739396 155878382 198390668 210161908 311756764 367783339 545574337 735566678 1091148674 1471133356 1495015391 2182297348 2990030782 5980061564 10465107737 16445169301 20930215474 32890338602 41860430948 65780677204 115116185107 230232370214 460464740428