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199487704416 = 2537111317196427
BaseRepresentation
bin1011100111001001100…
…1001100110101100000
3201001220122022101001220
42321302121030311200
511232022323020131
6231350545455040
720261330336610
oct2716231146540
9631818271056
10199487704416
1177669676a20
12327b4041480
1315a721506b0
149926048a40
1552c84cce96
hex2e7264cd60

199487704416 has 768 divisors, whose sum is σ = 783751127040. Its totient is φ = 42639851520.

The previous prime is 199487704393. The next prime is 199487704417. The reversal of 199487704416 is 614407784991.

It is a self number, because there is not a number n which added to its sum of digits gives 199487704416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199487704417) 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, 31035795 + ... + 31042221.

It is an arithmetic number, because the mean of its divisors is an integer number (1020509280).

Almost surely, 2199487704416 is an apocalyptic number.

199487704416 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 199487704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391875563520).

199487704416 is an abundant number, since it is smaller than the sum of its proper divisors (584263422624).

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

199487704416 is a wasteful number, since it uses less digits than its factorization.

199487704416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 199487704416 in words is "one hundred ninety-nine billion, four hundred eighty-seven million, seven hundred four thousand, four hundred sixteen".