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78388010896 = 2413319241487
BaseRepresentation
bin100100100000001001…
…0100001111110010000
321111022222212112122211
41021000102201332100
52241014312322041
6100002211041504
75443346045626
oct1110022417620
9244288775584
1078388010896
1130275a96888
1213237ba0294
137513192000
143b18a43516
15208bc02481
hex12404a1f90

78388010896 has 160 divisors (see below), whose sum is σ = 174262457600. Its totient is φ = 34062612480.

The previous prime is 78388010849. The next prime is 78388010941. The reversal of 78388010896 is 69801088387.

It is a super-2 number, since 2×783880108962 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78388010896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160960765 + ... + 160961251.

It is an arithmetic number, because the mean of its divisors is an integer number (1089140360).

Almost surely, 278388010896 is an apocalyptic number.

78388010896 is a gapful number since it is divisible by the number (76) 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 78388010896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87131228800).

78388010896 is an abundant number, since it is smaller than the sum of its proper divisors (95874446704).

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

78388010896 is a wasteful number, since it uses less digits than its factorization.

78388010896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 78388010896 in words is "seventy-eight billion, three hundred eighty-eight million, ten thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 241 247 304 338 482 487 494 676 964 974 988 1352 1928 1948 1976 2197 2704 3133 3211 3856 3896 3952 4394 4579 6266 6331 6422 7792 8788 9158 9253 12532 12662 12844 17576 18316 18506 25064 25324 25688 35152 36632 37012 40729 41743 50128 50648 51376 59527 73264 74024 81458 82303 83486 101296 117367 119054 120289 148048 162916 164606 166972 234734 238108 240578 325832 329212 333944 469468 476216 481156 529477 651664 658424 667888 773851 938936 952432 962312 1058954 1069939 1316848 1525771 1547702 1563757 1877872 1924624 2117908 2139878 2229973 3051542 3095404 3127514 4235816 4279756 4459946 6103084 6190808 6255028 8471632 8559512 8919892 10060063 12206168 12381616 12510056 17119024 17839784 19835023 20120126 20328841 24412336 25020112 28989649 35679568 39670046 40240252 40657682 57979298 79340092 80480504 81315364 115958596 158680184 160961008 162630728 231917192 257855299 317360368 325261456 376865437 463834384 515710598 753730874 1031421196 1507461748 2062842392 3014923496 4125684784 4899250681 6029846992 9798501362 19597002724 39194005448 78388010896