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93909949072 = 2423438237211
BaseRepresentation
bin101011101110101111…
…0000001101010010000
322222101202010200220221
41113131132001222100
53014311421332242
6111050332042424
76533114252662
oct1273536015220
9288352120827
1093909949072
1136910799765
121624a303414
138b17ba4804
14478c2d0532
152699765167
hex15dd781a90

93909949072 has 80 divisors (see below), whose sum is σ = 194539834368. Its totient is φ = 43809575040.

The previous prime is 93909949039. The next prime is 93909949093. The reversal of 93909949072 is 27094990939.

It is a super-2 number, since 2×939099490722 (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 93909949072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13019547 + ... + 13026757.

Almost surely, 293909949072 is an apocalyptic number.

93909949072 is a gapful number since it is divisible by the number (92) 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 93909949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97269917184).

93909949072 is an abundant number, since it is smaller than the sum of its proper divisors (100629885296).

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

93909949072 is a wasteful number, since it uses less digits than its factorization.

93909949072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 61.

The spelling of 93909949072 in words is "ninety-three billion, nine hundred nine million, nine hundred forty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 823 989 1646 1978 3292 3956 6584 7211 7912 13168 14422 15824 18929 28844 35389 37858 57688 70778 75716 115376 141556 151432 165853 283112 302864 310073 331706 566224 620146 663412 813947 1240292 1326824 1627894 2480584 2653648 3255788 4961168 5934653 6511576 7131679 11869306 13023152 14263358 23738612 28526716 47477224 57053432 94954448 114106864 136497019 255190079 272994038 510380158 545988076 1020760316 1091976152 2041520632 2183952304 4083041264 5869371817 11738743634 23477487268 46954974536 93909949072