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461633063241030 = 235232943801526703
BaseRepresentation
bin110100011110110100101001…
…0110000000100010101000110
32020112111200121220020210011220
41220331221102300010111012
5441001344003142203110
64313451145050141210
7166143613436402622
oct15075512260042506
92215450556223156
10461633063241030
111240aa5344a557a
12439376b6a21806
1316a77a70c11b05
1481dd233862182
153858206cc6370
hex1a3da52c04546

461633063241030 has 128 divisors (see below), whose sum is σ = 1195984497438720. Its totient is φ = 113686730572800.

The previous prime is 461633063241029. The next prime is 461633063241067. The reversal of 461633063241030 is 30142360336164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876194659 + ... + 876721361.

It is an arithmetic number, because the mean of its divisors is an integer number (9343628886240).

Almost surely, 2461633063241030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461633063241030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597992248719360).

461633063241030 is an abundant number, since it is smaller than the sum of its proper divisors (734351434197690).

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

461633063241030 is a wasteful number, since it uses less digits than its factorization.

461633063241030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570566.

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 461633063241030 in words is "four hundred sixty-one trillion, six hundred thirty-three billion, sixty-three million, two hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 4002 6670 10005 20010 43801 87602 131403 219005 262806 438010 526703 657015 1007423 1053406 1270229 1314030 1580109 2014846 2540458 2633515 3022269 3160218 3810687 5037115 5267030 6044538 6351145 7621374 7900545 10074230 12114169 12702290 15111345 15274387 15801090 19053435 24228338 29215267 30222690 30548774 36342507 38106870 45823161 58430534 60570845 72685014 76371935 87645801 91646322 121141690 146076335 152743870 175291602 181712535 229115805 292152670 351310901 363425070 438229005 458231610 702621802 876458010 1053932703 1756554505 2107865406 3513109010 5269663515 10539327030 23070118103 46140236206 69210354309 115350590515 138420708618 230701181030 346051771545 530612716369 669033424987 692103543090 1061225432738 1338066849974 1591838149107 2007100274961 2653063581845 3183676298214 3345167124935 4014200549922 5306127163690 6690334249870 7959190745535 10035501374805 15387768774701 15918381491070 20071002749610 30775537549402 46163306324103 76938843873505 92326612648206 153877687747010 230816531620515 461633063241030