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12019517360 = 245413664487
BaseRepresentation
bin10110011000110101…
…10100011110110000
31011000122211202010122
423030122310132300
5144103444023420
65304403545412
7603566132444
oct131432643660
934018752118
1012019517360
115108782324
1223b538b268
131197209366
1482045c824
154a5328725
hex2cc6b47b0

12019517360 has 40 divisors (see below), whose sum is σ = 28626980256. Its totient is φ = 4690542080.

The previous prime is 12019517299. The next prime is 12019517369. The reversal of 12019517360 is 6371591021.

12019517360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12019517360.

It is not an unprimeable number, because it can be changed into a prime (12019517369) 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 7 ways as a sum of consecutive naturals, for example, 1828964 + ... + 1835523.

Almost surely, 212019517360 is an apocalyptic number.

12019517360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12019517360 is an abundant number, since it is smaller than the sum of its proper divisors (16607462896).

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

12019517360 is a wasteful number, since it uses less digits than its factorization.

12019517360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664541 (or 3664535 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 12019517360 in words is "twelve billion, nineteen million, five hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3664487 7328974 14657948 18322435 29315896 36644870 58631792 73289740 146579480 150243967 293158960 300487934 600975868 751219835 1201951736 1502439670 2403903472 3004879340 6009758680 12019517360