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473624112260 = 2251322911094357
BaseRepresentation
bin1101110010001100011…
…00100110110010000100
31200021111200022210021102
412321012030212302010
530224440233043020
61001325132235232
746134563346425
oct6710614466204
91607450283242
10473624112260
11172954511672
127795b90bb18
133587c858c00
1418cd024364c
15c4c0280475
hex6e46326c84

473624112260 has 144 divisors (see below), whose sum is σ = 1115403080400. Its totient is φ = 168655398912.

The previous prime is 473624112259. The next prime is 473624112319. The reversal of 473624112260 is 62211426374.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 406944478084 + 66679634176 = 637922^2 + 258224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108702002 + ... + 108706358.

It is an arithmetic number, because the mean of its divisors is an integer number (7745854725).

Almost surely, 2473624112260 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 473624112260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557701540200).

473624112260 is an abundant number, since it is smaller than the sum of its proper divisors (641778968140).

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

473624112260 is a wasteful number, since it uses less digits than its factorization.

473624112260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 473624112260 in words is "four hundred seventy-three billion, six hundred twenty-four million, one hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 169 260 290 338 377 580 676 754 845 1109 1508 1690 1885 2218 3380 3770 4357 4436 4901 5545 7540 8714 9802 11090 14417 17428 19604 21785 22180 24505 28834 32161 43570 49010 56641 57668 64322 72085 87140 98020 113282 126353 128644 144170 160805 187421 226564 252706 283205 288340 321610 374842 418093 505412 566410 631765 643220 736333 749684 836186 937105 1132820 1263530 1472666 1642589 1672372 1874210 2090465 2527060 2945332 3285178 3681665 3748420 4180930 4831913 5435209 6570356 7363330 8212945 8361860 9663826 10870418 14726660 16425890 19327652 21353657 21740836 24159565 27176045 32851780 42707314 48319130 54352090 62814869 85414628 96638260 106768285 108704180 125629738 140125477 213536570 251259476 280250954 314074345 427073140 560501908 628148690 700627385 816593297 1256297380 1401254770 1633186594 1821631201 2802509540 3266373188 3643262402 4082966485 7286524804 8165932970 9108156005 16331865940 18216312010 23681205613 36432624020 47362411226 94724822452 118406028065 236812056130 473624112260