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199028928384 = 27351113291543
BaseRepresentation
bin1011100101011100001…
…1000110111110000000
3201000201200001010200000
42321113003012332000
511230102401202014
6231233240400000
720244056656266
oct2712703067600
9630650033600
10199028928384
1177453706780
12326a6476000
13159cb0a02a0
1498c1144436
15529d0a9509
hex2e570c6f80

199028928384 has 768 divisors, whose sum is σ = 722302963200. Its totient is φ = 53717852160.

The previous prime is 199028928377. The next prime is 199028928443. The reversal of 199028928384 is 483829820991.

It is a happy number.

It is a super-2 number, since 2×1990289283842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128987517 + ... + 128989059.

It is an arithmetic number, because the mean of its divisors is an integer number (940498650).

Almost surely, 2199028928384 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 199028928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361151481600).

199028928384 is an abundant number, since it is smaller than the sum of its proper divisors (523274034816).

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

199028928384 is a wasteful number, since it uses less digits than its factorization.

199028928384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 199028928384 in words is "one hundred ninety-nine billion, twenty-eight million, nine hundred twenty-eight thousand, three hundred eighty-four".