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19070442144 = 2533131697867
BaseRepresentation
bin10001110000101011…
…111101101010100000
31211020001101211121000
4101300223331222200
5303024013122034
612432201432000
71243404040455
oct216053755240
954201354530
1019070442144
1180a6849496
12384279b600
131a4bc325c0
14ccca7382c
15769351599
hex470afdaa0

19070442144 has 96 divisors (see below), whose sum is σ = 59900783040. Its totient is φ = 5867824896.

The previous prime is 19070442049. The next prime is 19070442163. The reversal of 19070442144 is 44124407091.

19070442144 is a `hidden beast` number, since 1 + 9 + 0 + 70 + 442 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19070442099 and 19070442108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 837702 + ... + 860165.

It is an arithmetic number, because the mean of its divisors is an integer number (623966490).

Almost surely, 219070442144 is an apocalyptic number.

It is an amenable number.

19070442144 is an abundant number, since it is smaller than the sum of its proper divisors (40830340896).

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

19070442144 is a wasteful number, since it uses less digits than its factorization.

19070442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697899 (or 1697885 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 19070442144 in words is "nineteen billion, seventy million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1697867 3395734 5093601 6791468 10187202 13582936 15280803 20374404 22072271 27165872 30561606 40748808 44144542 45842409 54331744 61123212 66216813 81497616 88289084 91684818 122246424 132433626 162995232 176578168 183369636 198650439 244492848 264867252 353156336 366739272 397300878 488985696 529734504 595951317 706312672 733478544 794601756 1059469008 1191902634 1466957088 1589203512 2118938016 2383805268 3178407024 4767610536 6356814048 9535221072 19070442144