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21064634316 = 2232111917316183
BaseRepresentation
bin10011100111100011…
…001100111111001100
32000101000211021222100
4103213203030333030
5321120021244231
613402120115100
71344000303015
oct234743147714
960330737870
1021064634316
118a2a4895a0
1240ba605a90
131ca912527b
14103b85a00c
158344681e6
hex4e78ccfcc

21064634316 has 144 divisors (see below), whose sum is σ = 61501789440. Its totient is φ = 6011936640.

The previous prime is 21064634257. The next prime is 21064634321. The reversal of 21064634316 is 61343646012.

21064634316 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 4 + 634 + 3 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1293561 + ... + 1309743.

It is an arithmetic number, because the mean of its divisors is an integer number (427095760).

Almost surely, 221064634316 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 21064634316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750894720).

21064634316 is an abundant number, since it is smaller than the sum of its proper divisors (40437155124).

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

21064634316 is a wasteful number, since it uses less digits than its factorization.

21064634316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16396 (or 16391 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 21064634316 in words is "twenty-one billion, sixty-four million, six hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 173 198 209 228 342 346 396 418 519 627 684 692 836 1038 1254 1557 1881 1903 2076 2508 3114 3287 3762 3806 5709 6228 6574 7524 7612 9861 11418 13148 16183 17127 19722 22836 29583 32366 34254 36157 39444 48549 59166 64732 68508 72314 97098 108471 118332 144628 145647 178013 194196 216942 291294 307477 325413 356026 433884 534039 582588 614954 650826 712052 922431 1068078 1229908 1301652 1602117 1844862 2136156 2767293 2799659 3204234 3382247 3689724 5534586 5599318 6408468 6764494 8398977 10146741 11069172 11198636 13528988 16797954 20293482 25196931 30440223 30796249 33595908 40586964 50393862 53193521 60880446 61592498 92388747 100787724 106387042 121760892 123184996 159580563 184777494 212774084 277166241 319161126 369554988 478741689 554332482 585128731 638322252 957483378 1108664964 1170257462 1755386193 1914966756 2340514924 3510772386 5266158579 7021544772 10532317158 21064634316