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19148473344000 = 213353711132479
BaseRepresentation
bin1000101101010010110011…
…11100111010000000000000
32111210120120000211102201110
410112221121330322000000
510002212033134002000
6104420404234403320
74014301006615650
oct426513174720000
974716500742643
1019148473344000
116112905004020
122193128b90540
13a8b902201500
144a2b10924360
1523316818b850
hex116a59f3a000

19148473344000 has 2688 divisors, whose sum is σ = 86206811258880. Its totient is φ = 3665166336000.

The previous prime is 19148473343959. The next prime is 19148473344037. The reversal of 19148473344000 is 44337484191.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39975935761 + ... + 39975936239.

Almost surely, 219148473344000 is an apocalyptic number.

19148473344000 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 19148473344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43103405629440).

19148473344000 is an abundant number, since it is smaller than the sum of its proper divisors (67058337914880).

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

19148473344000 is a wasteful number, since it uses less digits than its factorization.

19148473344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 19148473344000 in words is "nineteen trillion, one hundred forty-eight billion, four hundred seventy-three million, three hundred forty-four thousand".