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199530169344 = 21036112472
BaseRepresentation
bin1011100111010011101…
…1001100010000000000
3201002000121012211000000
42321310323030100000
511232114210404334
6231355104000000
720262354312222
oct2716473142000
9632017184000
10199530169344
1177690640500
1232806300000
1315a7ab9b17c
14992b940412
1552cc0ba299
hex2e74ecc400

199530169344 has 693 divisors, whose sum is σ = 671616264151. Its totient is φ = 59177226240.

The previous prime is 199530169301. The next prime is 199530169357. The reversal of 199530169344 is 443961035991.

It is a happy number.

The square root of 199530169344 is 446688.

It is a perfect power (a square), and thus also a powerful number.

199530169344 is a `hidden beast` number, since 1 + 9 + 9 + 530 + 1 + 69 + 3 + 44 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4245322729 + ... + 4245322775.

Almost surely, 2199530169344 is an apocalyptic number.

199530169344 is the 446688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199530169344

199530169344 is an abundant number, since it is smaller than the sum of its proper divisors (472086094807).

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

199530169344 is an frugal number, since it uses more digits than its factorization.

199530169344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 199530169344 in words is "one hundred ninety-nine billion, five hundred thirty million, one hundred sixty-nine thousand, three hundred forty-four".