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19924079472 = 24321165919087
BaseRepresentation
bin10010100011100100…
…010101001101110000
31220102112200002212100
4102203210111031300
5311301031020342
613053014100400
71303510611153
oct224344251560
956375602770
1019924079472
1184a4694890
123a4064a700
131b56a4534b
14d701a1c9a
157b9270e4c
hex4a3915370

19924079472 has 120 divisors (see below), whose sum is σ = 60924314880. Its totient is φ = 6028122240.

The previous prime is 19924079449. The next prime is 19924079473. The reversal of 19924079472 is 27497042991.

19924079472 is a `hidden beast` number, since 19 + 92 + 4 + 0 + 79 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19924079473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034313 + ... + 1053399.

It is an arithmetic number, because the mean of its divisors is an integer number (507702624).

Almost surely, 219924079472 is an apocalyptic number.

19924079472 is a gapful number since it is divisible by the number (12) 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 19924079472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30462157440).

19924079472 is an abundant number, since it is smaller than the sum of its proper divisors (41000235408).

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

19924079472 is a wasteful number, since it uses less digits than its factorization.

19924079472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19771 (or 19762 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 19924079472 in words is "nineteen billion, nine hundred twenty-four million, seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 659 792 1318 1584 1977 2636 3954 5272 5931 7249 7908 10544 11862 14498 15816 19087 21747 23724 28996 31632 38174 43494 47448 57261 57992 65241 76348 86988 94896 114522 115984 130482 152696 171783 173976 209957 229044 260964 305392 343566 347952 419914 458088 521928 629871 687132 839828 916176 1043856 1259742 1374264 1679656 1889613 2519484 2748528 3359312 3779226 5038968 7558452 10077936 12578333 15116904 25156666 30233808 37734999 50313332 75469998 100626664 113204997 138361663 150939996 201253328 226409994 276723326 301879992 415084989 452819988 553446652 603759984 830169978 905639976 1106893304 1245254967 1660339956 1811279952 2213786608 2490509934 3320679912 4981019868 6641359824 9962039736 19924079472