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19693998213120 = 2113257211735431
BaseRepresentation
bin1000111101001010111011…
…10001001000100000000000
32120201201122121010010002200
410132211131301020200000
510040131302020304440
6105515144201513200
74101562430526300
oct436453561104000
976651577103080
1019693998213120
1163031a562a4a0
1222609b41a2800
13acb19cc11c5a
144c12a1da3600
15242445839c30
hex11e95dc48800

19693998213120 has 1728 divisors, whose sum is σ = 87820537633920. Its totient is φ = 4035457843200.

The previous prime is 19693998213107. The next prime is 19693998213121. The reversal of 19693998213120 is 2131289939691.

19693998213120 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 399 + 8 + 213 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19693998213121) 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 143 ways as a sum of consecutive naturals, for example, 3626216805 + ... + 3626222235.

It is an arithmetic number, because the mean of its divisors is an integer number (50822070390).

Almost surely, 219693998213120 is an apocalyptic number.

19693998213120 is a gapful number since it is divisible by the number (10) 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 19693998213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43910268816960).

19693998213120 is an abundant number, since it is smaller than the sum of its proper divisors (68126539420800).

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

19693998213120 is a wasteful number, since it uses less digits than its factorization.

19693998213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 19693998213120 in words is "nineteen trillion, six hundred ninety-three billion, nine hundred ninety-eight million, two hundred thirteen thousand, one hundred twenty".