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1993597056 = 2733112292
BaseRepresentation
bin111011011010011…
…1110000010000000
312010221022020001000
41312310332002000
513040330101211
6525453412000
7100255203213
oct16664760200
95127266030
101993597056
11933373a80
1247779a000
1325a044b39
1414caad77a
15ba04a656
hex76d3e080

1993597056 has 192 divisors, whose sum is σ = 6446930400. Its totient is φ = 601482240.

The previous prime is 1993597049. The next prime is 1993597061. The reversal of 1993597056 is 6507953991.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 1993596993 and 1993597011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8705550 + ... + 8705778.

Almost surely, 21993597056 is an apocalyptic number.

1993597056 is a gapful number since it is divisible by the number (16) 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 1993597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223465200).

1993597056 is an abundant number, since it is smaller than the sum of its proper divisors (4453333344).

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

1993597056 is an equidigital number, since it uses as much as digits as its factorization.

1993597056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The square root of 1993597056 is about 44649.7150718792. The cubic root of 1993597056 is about 1258.5750785203.

The spelling of 1993597056 in words is "one billion, nine hundred ninety-three million, five hundred ninety-seven thousand, fifty-six".