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19804419936 = 2532731316891
BaseRepresentation
bin10010011100011011…
…110111011101100000
31220010012111202211200
4102130123313131200
5311024412414221
613033101241200
71300525535430
oct223433673540
956105452750
1019804419936
118443095904
123a08563200
131b3800a3a2
14d5c3342c0
157ad9d6426
hex49c6f7760

19804419936 has 144 divisors (see below), whose sum is σ = 66440844288. Its totient is φ = 5475859200.

The previous prime is 19804419923. The next prime is 19804419983. The reversal of 19804419936 is 63991440891.

It is a happy number.

19804419936 is a `hidden beast` number, since 1 + 9 + 80 + 441 + 99 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95950 + ... + 220941.

It is an arithmetic number, because the mean of its divisors is an integer number (461394752).

Almost surely, 219804419936 is an apocalyptic number.

19804419936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19804419936 is an abundant number, since it is smaller than the sum of its proper divisors (46636424352).

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

19804419936 is a wasteful number, since it uses less digits than its factorization.

19804419936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316945 (or 316934 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 19804419936 in words is "nineteen billion, eight hundred four million, four hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1953 2016 2232 2604 2976 3472 3906 4464 5208 6944 7812 8928 10416 15624 20832 31248 62496 316891 633782 950673 1267564 1901346 2218237 2535128 2852019 3802692 4436474 5070256 5704038 6654711 7605384 8872948 9823621 10140512 11408076 13309422 15210768 17745896 19647242 19964133 22816152 26618844 29470863 30421536 35491792 39294484 39928266 45632304 53237688 58941726 68765347 70983584 78588968 79856532 88412589 91264608 106475376 117883452 137530694 157177936 159713064 176825178 206296041 212950752 235766904 275061388 314355872 319426128 353650356 412592082 471533808 550122776 618888123 638852256 707300712 825184164 943067616 1100245552 1237776246 1414601424 1650368328 2200491104 2475552492 2829202848 3300736656 4951104984 6601473312 9902209968 19804419936