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21929852934 = 232112191992663
BaseRepresentation
bin10100011011000111…
…110000000000000110
32002121022212221210100
4110123013300000012
5324403020243214
614024024504530
71404304450203
oct243307600006
962538787710
1021929852934
119333915100
12430031b146
1320b6461552
1410c0720caa
158853c4309
hex51b1f0006

21929852934 has 144 divisors (see below), whose sum is σ = 55272672000. Its totient is φ = 6261662880.

The previous prime is 21929852927. The next prime is 21929852969. The reversal of 21929852934 is 43925892912.

21929852934 is a `hidden beast` number, since 21 + 9 + 2 + 98 + 529 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8233687 + ... + 8236349.

It is an arithmetic number, because the mean of its divisors is an integer number (383838000).

Almost surely, 221929852934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21929852934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27636336000).

21929852934 is an abundant number, since it is smaller than the sum of its proper divisors (33342819066).

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

21929852934 is a wasteful number, since it uses less digits than its factorization.

21929852934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2897 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 21929852934 in words is "twenty-one billion, nine hundred twenty-nine million, eight hundred fifty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 199 209 242 342 363 398 418 597 627 726 1089 1194 1254 1791 1881 2178 2189 2299 2663 3582 3762 3781 4378 4598 5326 6567 6897 7562 7989 11343 13134 13794 15978 19701 20691 22686 23967 24079 29293 34029 39402 41382 41591 47934 48158 50597 58586 68058 72237 83182 87879 101194 124773 144474 151791 175758 216711 249546 263637 303582 322223 374319 433422 455373 457501 527274 529937 556567 644446 748638 910746 915002 966669 1059874 1113134 1372503 1589811 1669701 1933338 2745006 2900007 3179622 3339402 4117509 4769433 5009103 5800014 5829307 6122237 8235018 9538866 10018206 10068803 11658614 12244474 17487921 18366711 20137606 30206409 34975842 36733422 52463763 55100133 60412818 64122377 90619227 104927526 110200266 110756833 128244754 181238454 192367131 221513666 332270499 384734262 577101393 664540998 996811497 1154202786 1218325163 1993622994 2436650326 3654975489 7309950978 10964926467 21929852934