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199189343808 = 263371317269277
BaseRepresentation
bin1011100110000010011…
…1000010111001000000
3201001010211220002021000
42321200213002321000
511230414433000213
6231301210532000
720251045325610
oct2714047027100
9631124802230
10199189343808
1177526212204
1232730137000
1315a253a7b60
1498d8580a40
1552ac1e4c73
hex2e609c2e40

199189343808 has 896 divisors, whose sum is σ = 768710476800. Its totient is φ = 49081614336.

The previous prime is 199189343797. The next prime is 199189343809. The reversal of 199189343808 is 808343981991.

199189343808 is a `hidden beast` number, since 19 + 9 + 189 + 3 + 438 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (199189343809) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 719094966 + ... + 719095242.

It is an arithmetic number, because the mean of its divisors is an integer number (857935800).

Almost surely, 2199189343808 is an apocalyptic number.

199189343808 is a gapful number since it is divisible by the number (18) 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 199189343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384355238400).

199189343808 is an abundant number, since it is smaller than the sum of its proper divisors (569521132992).

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

199189343808 is a wasteful number, since it uses less digits than its factorization.

199189343808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 199189343808 in words is "one hundred ninety-nine billion, one hundred eighty-nine million, three hundred forty-three thousand, eight hundred eight".