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19924115094 = 23213598871627
BaseRepresentation
bin10010100011100100…
…011101111010010110
31220102112201220201200
4102203210131322112
5311301033140334
613053014533330
71303511120052
oct224344357226
956375656650
1019924115094
1184a4709624
123a40667246
131b56a58620
14d701b0c62
157b927b799
hex4a391de96

19924115094 has 96 divisors (see below), whose sum is σ = 47359952640. Its totient is φ = 6016095936.

The previous prime is 19924115093. The next prime is 19924115111. The reversal of 19924115094 is 49051142991.

19924115094 is a `hidden beast` number, since 19 + 92 + 41 + 1 + 509 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19924115093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12245109 + ... + 12246735.

It is an arithmetic number, because the mean of its divisors is an integer number (493332840).

Almost surely, 219924115094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19924115094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23679976320).

19924115094 is an abundant number, since it is smaller than the sum of its proper divisors (27435837546).

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

19924115094 is a wasteful number, since it uses less digits than its factorization.

19924115094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 19924115094 in words is "nineteen billion, nine hundred twenty-four million, one hundred fifteen thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 887 1062 1534 1627 1774 2301 2661 3254 4602 4881 5322 6903 7983 9762 11531 13806 14643 15966 21151 23062 29286 34593 42302 52333 63453 69186 95993 103779 104666 126906 156999 190359 191986 207558 287979 313998 380718 470997 575958 680329 863937 941994 1247909 1360658 1443149 1727874 2040987 2495818 2886298 3743727 4081974 4329447 6122961 7487454 8658894 11231181 12245922 12988341 18760937 22462362 25976682 37521874 56282811 85145791 112565622 168848433 170291582 255437373 337696866 510874746 766312119 1106895283 1532624238 2213790566 3320685849 6641371698 9962057547 19924115094