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19927119744 = 27357194817
BaseRepresentation
bin10010100011101111…
…111011011110000000
31220102202101120100000
4102203233323132000
5311302320312434
613053203200000
71303545503010
oct224357733600
956382346300
1019927119744
1184a6381004
123a41676000
131b5756b11c
14d70753c40
157b9671b99
hex4a3bfb780

19927119744 has 384 divisors, whose sum is σ = 71553081600. Its totient is φ = 5392687104.

The previous prime is 19927119733. The next prime is 19927119853. The reversal of 19927119744 is 44791172991.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4134424 + ... + 4139240.

It is an arithmetic number, because the mean of its divisors is an integer number (186336150).

Almost surely, 219927119744 is an apocalyptic number.

19927119744 is a gapful number since it is divisible by the number (14) 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 19927119744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35776540800).

19927119744 is an abundant number, since it is smaller than the sum of its proper divisors (51625961856).

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

19927119744 is an equidigital number, since it uses as much as digits as its factorization.

19927119744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4848 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 19927119744 in words is "nineteen billion, nine hundred twenty-seven million, one hundred nineteen thousand, seven hundred forty-four".