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21665464240 = 2457186120789
BaseRepresentation
bin10100001011010111…
…001011111110110000
32001220220101121200111
4110023113023332300
5323332324323430
613541502031104
71364614256530
oct241327137660
961826347614
1021665464240
119208653a52
124247878494
132073751834
14109757b4c0
1586c09bc2a
hex50b5cbfb0

21665464240 has 80 divisors (see below), whose sum is σ = 57601938240. Its totient is φ = 7423810560.

The previous prime is 21665464199. The next prime is 21665464283. The reversal of 21665464240 is 4246456612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21665464193 and 21665464202.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1031766 + ... + 1052554.

It is an arithmetic number, because the mean of its divisors is an integer number (720024228).

Almost surely, 221665464240 is an apocalyptic number.

21665464240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21665464240 is an abundant number, since it is smaller than the sum of its proper divisors (35936474000).

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

21665464240 is a wasteful number, since it uses less digits than its factorization.

21665464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22670 (or 22664 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 21665464240 in words is "twenty-one billion, six hundred sixty-five million, four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1861 3722 7444 9305 13027 14888 18610 20789 26054 29776 37220 41578 52108 65135 74440 83156 103945 104216 130270 145523 148880 166312 207890 208432 260540 291046 332624 415780 521080 582092 727615 831560 1042160 1164184 1455230 1663120 2328368 2910460 5820920 11641840 38688329 77376658 154753316 193441645 270818303 309506632 386883290 541636606 619013264 773766580 1083273212 1354091515 1547533160 2166546424 2708183030 3095066320 4333092848 5416366060 10832732120 21665464240