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19439133696 = 2103213671543
BaseRepresentation
bin10010000110101010…
…011010010000000000
31212011202011022022200
4102012222122100000
5304302404234241
612532532033200
71255501624113
oct220652322000
955152138280
1019439133696
11827597a954
123926162800
131aaa431498
14d25a0857a
1578b8cd4b6
hex486a9a400

19439133696 has 132 divisors (see below), whose sum is σ = 56207541312. Its totient is φ = 6470774784.

The previous prime is 19439133691. The next prime is 19439133697. The reversal of 19439133696 is 69633193491.

19439133696 is a `hidden beast` number, since 19 + 439 + 133 + 69 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19439133691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12597501 + ... + 12599043.

Almost surely, 219439133696 is an apocalyptic number.

19439133696 is a gapful number since it is divisible by the number (16) 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 19439133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28103770656).

19439133696 is an abundant number, since it is smaller than the sum of its proper divisors (36768407616).

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

19439133696 is a wasteful number, since it uses less digits than its factorization.

19439133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2915 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 19439133696 in words is "nineteen billion, four hundred thirty-nine million, one hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1367 1536 1543 2304 2734 3072 3086 4101 4608 4629 5468 6172 8202 9216 9258 10936 12303 12344 13887 16404 18516 21872 24606 24688 27774 32808 37032 43744 49212 49376 55548 65616 74064 87488 98424 98752 111096 131232 148128 174976 196848 197504 222192 262464 296256 349952 393696 395008 444384 524928 592512 699904 787392 790016 888768 1049856 1185024 1399808 1574784 1580032 1777536 2099712 2109281 2370048 3149568 3555072 4199424 4218562 4740096 6299136 6327843 7110144 8437124 12598272 12655686 14220288 16874248 18983529 25311372 33748496 37967058 50622744 67496992 75934116 101245488 134993984 151868232 202490976 269987968 303736464 404981952 539975936 607472928 809963904 1079951872 1214945856 1619927808 2159903744 2429891712 3239855616 4859783424 6479711232 9719566848 19439133696