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19968379200000 = 2935557112329
BaseRepresentation
bin1001000101001010000000…
…01001100010001000000000
32121200221212200100102200000
410202211000021202020000
510104130220033400000
6110245202522400000
74130445023452410
oct442450011421000
977627780312600
1019968379200000
1163a95a6535a80
1222a6009960000
13b1b0191b25aa
144d0690866640
15249653d00000
hex122940262200

19968379200000 has 5760 divisors, whose sum is σ = 100534005411840. Its totient is φ = 3832012800000.

The previous prime is 19968379199953. The next prime is 19968379200001. The reversal of 19968379200000 is 297386991.

19968379200000 is a `hidden beast` number, since 1 + 9 + 9 + 68 + 379 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 19968379200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19968379200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 688564799986 + ... + 688564800014.

It is an arithmetic number, because the mean of its divisors is an integer number (17453820384).

Almost surely, 219968379200000 is an apocalyptic number.

19968379200000 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 19968379200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50267002705920).

19968379200000 is an abundant number, since it is smaller than the sum of its proper divisors (80565626211840).

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

19968379200000 is an frugal number, since it uses more digits than its factorization.

19968379200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 19968379200000 in words is "nineteen trillion, nine hundred sixty-eight billion, three hundred seventy-nine million, two hundred thousand".