Search a number
-
+
19874931696000 = 273253138020359
BaseRepresentation
bin1001000010011011111100…
…01111100110000110000000
32121101000200011101101010100
410201031332033212012000
510101112330003233000
6110134230110202400
74120626223000653
oct441157617460600
977330604341110
1019874931696000
116372a02893127
12228ba8a4b3400
13b12276074224
144c9d47b5389a
15246ed4e85a00
hex12137e3e6180

19874931696000 has 192 divisors, whose sum is σ = 71375848970400. Its totient is φ = 5299981747200.

The previous prime is 19874931695981. The next prime is 19874931696007. The reversal of 19874931696000 is 69613947891.

19874931696000 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 4 + 9 + 3 + 16 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19874931696007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68866180 + ... + 69154179.

Almost surely, 219874931696000 is an apocalyptic number.

19874931696000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19874931696000 is an abundant number, since it is smaller than the sum of its proper divisors (51500917274400).

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

19874931696000 is a wasteful number, since it uses less digits than its factorization.

19874931696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138020394 (or 138020369 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 19874931696000 in words is "nineteen trillion, eight hundred seventy-four billion, nine hundred thirty-one million, six hundred ninety-six thousand".