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21670665816 = 23317313075581
BaseRepresentation
bin10100001011101011…
…000001111001011000
32001221021011212220110
4110023223001321120
5323340142301231
613542205324320
71365006422502
oct241353017130
961837155813
1021670665816
119210586a78
1242495666a0
1320748532a7
141098132d72
1586c778046
hex50bac1e58

21670665816 has 128 divisors (see below), whose sum is σ = 59417487360. Its totient is φ = 6556723200.

The previous prime is 21670665787. The next prime is 21670665857. The reversal of 21670665816 is 61856607612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3880146 + ... + 3885726.

It is an arithmetic number, because the mean of its divisors is an integer number (464199120).

Almost surely, 221670665816 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 21670665816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29708743680).

21670665816 is an abundant number, since it is smaller than the sum of its proper divisors (37746821544).

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

21670665816 is a wasteful number, since it uses less digits than its factorization.

21670665816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 21670665816 in words is "twenty-one billion, six hundred seventy million, six hundred sixty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 307 372 408 527 614 744 921 1054 1228 1581 1842 2108 2456 3162 3684 4216 5219 5581 6324 7368 9517 10438 11162 12648 15657 16743 19034 20876 22324 28551 31314 33486 38068 41752 44648 57102 62628 66972 76136 94877 114204 125256 133944 161789 173011 189754 228408 284631 323578 346022 379508 485367 519033 569262 647156 692044 759016 970734 1038066 1138524 1294312 1384088 1713367 1941468 2076132 2277048 2941187 3426734 3882936 4152264 5140101 5882374 6853468 8823561 10280202 11764748 13706936 17647122 20560404 23529496 29127239 35294244 41120808 53114377 58254478 70588488 87381717 106228754 116508956 159343131 174763434 212457508 233017912 318686262 349526868 424915016 637372524 699053736 902944409 1274745048 1805888818 2708833227 3611777636 5417666454 7223555272 10835332908 21670665816