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505080022680 = 233252635334601
BaseRepresentation
bin1110101100110010001…
…11011000011010011000
31210021200220011121021200
413112121013120122120
531233400441211210
61024010333434200
751330232233162
oct7263107303230
91707626147250
10505080022680
11185226561752
1281a7a33b960
133882374715c
141a635b95932
15d211ae50c0
hex75991d8698

505080022680 has 96 divisors (see below), whose sum is σ = 1647751865760. Its totient is φ = 134175859200.

The previous prime is 505080022661. The next prime is 505080022687. The reversal of 505080022680 is 86220080505.

505080022680 is a `hidden beast` number, since 50 + 508 + 0 + 0 + 2 + 26 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505080022687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2572621 + ... + 2761980.

It is an arithmetic number, because the mean of its divisors is an integer number (17164081935).

Almost surely, 2505080022680 is an apocalyptic number.

It is an amenable number.

505080022680 is an abundant number, since it is smaller than the sum of its proper divisors (1142671843080).

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

505080022680 is a wasteful number, since it uses less digits than its factorization.

505080022680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334881 (or 5334874 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 505080022680 in words is "five hundred five billion, eighty million, twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 263 360 526 789 1052 1315 1578 2104 2367 2630 3156 3945 4734 5260 6312 7890 9468 10520 11835 15780 18936 23670 31560 47340 94680 5334601 10669202 16003803 21338404 26673005 32007606 42676808 48011409 53346010 64015212 80019015 96022818 106692020 128030424 160038030 192045636 213384040 240057045 320076060 384091272 480114090 640152120 960228180 1403000063 1920456360 2806000126 4209000189 5612000252 7015000315 8418000378 11224000504 12627000567 14030000630 16836000756 21045000945 25254001134 28060001260 33672001512 42090001890 50508002268 56120002520 63135002835 84180003780 101016004536 126270005670 168360007560 252540011340 505080022680