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19968253553790 = 2325221869483931
BaseRepresentation
bin1001000101001001110001…
…01010001110110001111110
32121200221112220220221110200
410202210320222032301332
510104124440402210130
6110245142233344330
74130441636464053
oct442447052166176
977627486827420
1019968253553790
1163a9541618133
1222a5b938680a6
13b1acc915c719
144d067bcbb02a
15249647c81760
hex122938a8ec7e

19968253553790 has 24 divisors (see below), whose sum is σ = 51917459240088. Its totient is φ = 5324867614320.

The previous prime is 19968253553681. The next prime is 19968253553819. The reversal of 19968253553790 is 9735535286991.

It is a happy number.

19968253553790 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 82 + 5 + 3 + 5 + 537 + 9 + 0 = 666.

It is a super-3 number, since 3×199682535537903 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110934741876 + ... + 110934742055.

It is an arithmetic number, because the mean of its divisors is an integer number (2163227468337).

Almost surely, 219968253553790 is an apocalyptic number.

19968253553790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19968253553790 is an abundant number, since it is smaller than the sum of its proper divisors (31949205686298).

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

19968253553790 is a wasteful number, since it uses less digits than its factorization.

19968253553790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221869483944 (or 221869483941 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 19968253553790 in words is "nineteen trillion, nine hundred sixty-eight billion, two hundred fifty-three million, five hundred fifty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 221869483931 443738967862 665608451793 1109347419655 1331216903586 1996825355379 2218694839310 3328042258965 3993650710758 6656084517930 9984126776895 19968253553790