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199056884796 = 223273114731181
BaseRepresentation
bin1011100101100010110…
…1110000010000111100
3201000210121122110122200
42321120231300100330
511230132030303141
6231240115511500
720244546414000
oct2713055602074
9630717573580
10199056884796
1177468470850
12326b38b8590
1315a03b0b043
1498c4b40700
1552a077cab6
hex2e58b7043c

199056884796 has 288 divisors, whose sum is σ = 653774284800. Its totient is φ = 50601398400.

The previous prime is 199056884773. The next prime is 199056884849. The reversal of 199056884796 is 697488650991.

199056884796 is a `hidden beast` number, since 1 + 9 + 90 + 5 + 68 + 8 + 479 + 6 = 666.

199056884796 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6368326 + ... + 6399506.

It is an arithmetic number, because the mean of its divisors is an integer number (2270049600).

Almost surely, 2199056884796 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 199056884796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326887142400).

199056884796 is an abundant number, since it is smaller than the sum of its proper divisors (454717400004).

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

199056884796 is a wasteful number, since it uses less digits than its factorization.

199056884796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31270 (or 31251 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 199056884796 in words is "one hundred ninety-nine billion, fifty-six million, eight hundred eighty-four thousand, seven hundred ninety-six".