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19688579856 = 243211210632
BaseRepresentation
bin10010010101100001…
…111110001100010000
31212211010112111010100
4102111201332030100
5310310234023411
613013402332400
71264621111311
oct222541761420
955733474110
1019688579856
118393765500
1239957ba100
131b1a00ba6a
14d4abbc608
157a3753456
hex49587e310

19688579856 has 135 divisors (see below), whose sum is σ = 60622237767. Its totient is φ = 5960623680.

The previous prime is 19688579839. The next prime is 19688579909. The reversal of 19688579856 is 65897588691.

The square root of 19688579856 is 140316.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18521181 + ... + 18522243.

Almost surely, 219688579856 is an apocalyptic number.

19688579856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19688579856 is the 140316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19688579856

19688579856 is an abundant number, since it is smaller than the sum of its proper divisors (40933657911).

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

19688579856 is a wasteful number, since it uses less digits than its factorization.

19688579856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 1079 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The spelling of 19688579856 in words is "nineteen billion, six hundred eighty-eight million, five hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1063 1089 1452 1584 1936 2126 2178 2904 3189 4252 4356 5808 6378 8504 8712 9567 11693 12756 17008 17424 19134 23386 25512 35079 38268 46772 51024 70158 76536 93544 105237 128623 140316 153072 187088 210474 257246 280632 385869 420948 514492 561264 771738 841896 1028984 1129969 1157607 1543476 1683792 2057968 2259938 2315214 3086952 3389907 4519876 4630428 6173904 6779814 9039752 9260856 10169721 12429659 13559628 18079504 18521712 20339442 24859318 27119256 37288977 40678884 49718636 54238512 74577954 81357768 99437272 111866931 136726249 149155908 162715536 198874544 223733862 273452498 298311816 410178747 447467724 546904996 596623632 820357494 894935448 1093809992 1230536241 1640714988 1789870896 2187619984 2461072482 3281429976 4922144964 6562859952 9844289928 19688579856