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19709929780992 = 283511171694327
BaseRepresentation
bin1000111101101000100110…
…10111001111011100000000
32120210020202220011121200000
410132310103113033130000
510040411414010442432
6105530341114400000
74102665301603113
oct436642327173400
976706686147600
1019709929780992
116309a30585210
122263abb730000
13acc83b7581a9
144c1d73c0057a
15242a7931457c
hex11ed135cf700

19709929780992 has 432 divisors, whose sum is σ = 68072785627392. Its totient is φ = 5621367029760.

The previous prime is 19709929780979. The next prime is 19709929780993. The reversal of 19709929780992 is 29908792990791.

19709929780992 is a `hidden beast` number, since 19 + 70 + 99 + 297 + 80 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19709929780993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10785733 + ... + 12480059.

It is an arithmetic number, because the mean of its divisors is an integer number (157575892656).

Almost surely, 219709929780992 is an apocalyptic number.

19709929780992 is a gapful number since it is divisible by the number (12) 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 19709929780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34036392813696).

19709929780992 is an abundant number, since it is smaller than the sum of its proper divisors (48362855846400).

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

19709929780992 is a wasteful number, since it uses less digits than its factorization.

19709929780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694386 (or 1694360 counting only the distinct ones).

The product of its (nonzero) digits is 833299488, while the sum is 81.

The spelling of 19709929780992 in words is "nineteen trillion, seven hundred nine billion, nine hundred twenty-nine million, seven hundred eighty thousand, nine hundred ninety-two".