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463311630066012 = 2237132443671736233
BaseRepresentation
bin110100101011000010010010…
…1001000010110000101011100
32020202110011022002212111121220
41221112010211020112011130
5441211344204244103022
64321214231410453340
7166406106050114520
oct15126044510260534
92222404262774556
10463311630066012
111246973a4732482
1243b68a93594250
1316b6a13a076cb0
14825a58c81bd80
153886beab2e85c
hex1a5612521615c

463311630066012 has 96 divisors (see below), whose sum is σ = 1330542174431232. Its totient is φ = 122191507846656.

The previous prime is 463311630066011. The next prime is 463311630066049. The reversal of 463311630066012 is 210660036113364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463311630066011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265980648 + ... + 267716880.

It is an arithmetic number, because the mean of its divisors is an integer number (13859814316992).

Almost surely, 2463311630066012 is an apocalyptic number.

463311630066012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

463311630066012 is an abundant number, since it is smaller than the sum of its proper divisors (867230544365220).

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

463311630066012 is a wasteful number, since it uses less digits than its factorization.

463311630066012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980627 (or 1980625 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

Adding to 463311630066012 its reverse (210660036113364), we get a palindrome (673971666179376).

The spelling of 463311630066012 in words is "four hundred sixty-three trillion, three hundred eleven billion, six hundred thirty million, sixty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 244367 488734 733101 977468 1466202 1710569 1736233 2932404 3176771 3421138 3472466 5131707 5208699 6353542 6842276 6944932 9530313 10263414 10417398 12153631 12707084 19060626 20526828 20834796 22237397 22571029 24307262 36460893 38121252 44474794 45142058 48614524 66712191 67713087 72921786 88949588 90284116 133424382 135426174 145843572 157997203 266848764 270852348 315994406 473991609 631988812 947983218 1895966436 424278049511 848556099022 1272834148533 1697112198044 2545668297066 2969946346577 5091336594132 5515614643643 5939892693154 8909839039731 11031229287286 11879785386308 16546843930929 17819678079462 22062458574572 33093687861858 35639356158924 38609302505501 66187375723716 77218605011002 115827907516503 154437210022004 231655815033006 463311630066012