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19703135268 = 223247211229241
BaseRepresentation
bin10010010110011001…
…011111110000100100
31212212010220222101200
4102112121133300210
5310323000312033
613015042322500
71265155613025
oct222631376044
955763828350
1019703135268
1183a09a7173
12399a659430
131b20036c2b
14d4cacac4c
157a4b7b013
hex49665fc24

19703135268 has 144 divisors (see below), whose sum is σ = 51542050560. Its totient is φ = 6343142400.

The previous prime is 19703135267. The next prime is 19703135323. The reversal of 19703135268 is 86253130791.

19703135268 is a `hidden beast` number, since 1 + 9 + 70 + 313 + 5 + 268 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19703135267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81755628 + ... + 81755868.

Almost surely, 219703135268 is an apocalyptic number.

19703135268 is a gapful number since it is divisible by the number (18) 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 19703135268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25771025280).

19703135268 is an abundant number, since it is smaller than the sum of its proper divisors (31838915292).

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

19703135268 is a wasteful number, since it uses less digits than its factorization.

19703135268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19703135268 in words is "nineteen billion, seven hundred three million, one hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 211 229 241 282 422 423 458 482 564 633 687 723 844 846 916 964 1266 1374 1446 1692 1899 2061 2169 2532 2748 2892 3798 4122 4338 7596 8244 8676 9917 10763 11327 19834 21526 22654 29751 32289 33981 39668 43052 45308 48319 50851 55189 59502 64578 67962 89253 96638 96867 101702 101943 110378 119004 129156 135924 144957 152553 165567 178506 193276 193734 203404 203886 220756 289914 305106 331134 357012 387468 407772 434871 457659 496701 579828 610212 662268 869742 915318 993402 1739484 1830636 1986804 2270993 2389997 2593883 4541986 4779994 5187766 6812979 7169991 7781649 9083972 9559988 10375532 11644879 13625958 14339982 15563298 20438937 21509973 23289758 23344947 27251916 28679964 31126596 34934637 40877874 43019946 46579516 46689894 69869274 81755748 86039892 93379788 104803911 139738548 209607822 419215644 547309313 1094618626 1641927939 2189237252 3283855878 4925783817 6567711756 9851567634 19703135268