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192919328448 = 26372113750383
BaseRepresentation
bin1011001110101011100…
…0110101011011000000
3200102221212202022010220
42303222320311123000
511130044322002243
6224343110423040
716636502143500
oct2635270653300
9612855668126
10192919328448
11748a8a27930
1231480361a80
13152663ac2b2
1494a1965a00
155041a22783
hex2ceae356c0

192919328448 has 336 divisors, whose sum is σ = 665267111424. Its totient is φ = 48753653760.

The previous prime is 192919328443. The next prime is 192919328449. The reversal of 192919328448 is 844823919291.

192919328448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 192919328391 and 192919328400.

It is not an unprimeable number, because it can be changed into a prime (192919328443) by changing a digit.

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, 3803865 + ... + 3854247.

Almost surely, 2192919328448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192919328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332633555712).

192919328448 is an abundant number, since it is smaller than the sum of its proper divisors (472347782976).

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

192919328448 is a wasteful number, since it uses less digits than its factorization.

192919328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50460 (or 50443 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The spelling of 192919328448 in words is "one hundred ninety-two billion, nine hundred nineteen million, three hundred twenty-eight thousand, four hundred forty-eight".