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21650098384660 = 22523374612759303
BaseRepresentation
bin1001110110000110011100…
…11011000110111100010100
32211122201200120200121122011
410323003032123012330110
510314203400141302120
6114013530133114004
74363111422615304
oct473031633067424
984581616617564
1021650098384660
116997834137409
122517b26188904
13c10798475c65
1454bc28369604
1527827e795c5a
hex13b0ce6c6f14

21650098384660 has 96 divisors (see below), whose sum is σ = 48829879752192. Its totient is φ = 8042151237120.

The previous prime is 21650098384657. The next prime is 21650098384721. The reversal of 21650098384660 is 6648389005612.

It is a junction number, because it is equal to n+sod(n) for n = 21650098384595 and 21650098384604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6466569 + ... + 9225871.

It is an arithmetic number, because the mean of its divisors is an integer number (508644580752).

Almost surely, 221650098384660 is an apocalyptic number.

21650098384660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21650098384660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24414939876096).

21650098384660 is an abundant number, since it is smaller than the sum of its proper divisors (27179781367532).

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

21650098384660 is a wasteful number, since it uses less digits than its factorization.

21650098384660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759833 (or 2759831 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 21650098384660 in words is "twenty-one trillion, six hundred fifty billion, ninety-eight million, three hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 461 740 851 922 1702 1844 2305 3404 4255 4610 8510 9220 10603 17020 17057 21206 34114 42412 53015 68228 85285 106030 170570 212060 341140 392311 784622 1569244 1961555 2759303 3923110 5518606 7846220 11037212 13796515 27593030 55186060 63463969 102094211 126927938 204188422 253855876 317319845 408376844 510471055 634639690 1020942110 1269279380 1272038683 2041884220 2348166853 2544077366 4696333706 5088154732 6360193415 9392667412 11740834265 12720386830 23481668530 25440773660 29256889709 46963337060 47065431271 58513779418 94130862542 117027558836 146284448545 188261725084 235327156355 292568897090 470654312710 585137794180 941308625420 1082504919233 2165009838466 4330019676932 5412524596165 10825049192330 21650098384660