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199495096304 = 24728919114969
BaseRepresentation
bin1011100111001011010…
…1011001011111110000
3201001221011012220211112
42321302311121133300
511232031221040204
6231351412132452
720261450224400
oct2716265313760
9631834186745
10199495096304
1177672865619
12327b6607128
1315a7383b0aa
149927010800
1552c8e8d26e
hex2e72d597f0

199495096304 has 120 divisors (see below), whose sum is σ = 457090387200. Its totient is φ = 84089026560.

The previous prime is 199495096301. The next prime is 199495096349. The reversal of 199495096304 is 403690594991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199495096301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13319732 + ... + 13334700.

It is an arithmetic number, because the mean of its divisors is an integer number (3809086560).

Almost surely, 2199495096304 is an apocalyptic number.

199495096304 is a gapful number since it is divisible by the number (14) 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 199495096304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228545193600).

199495096304 is an abundant number, since it is smaller than the sum of its proper divisors (257595290896).

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

199495096304 is a wasteful number, since it uses less digits than its factorization.

199495096304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15271 (or 15258 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 59.

The spelling of 199495096304 in words is "one hundred ninety-nine billion, four hundred ninety-five million, ninety-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 191 196 356 382 392 623 712 764 784 1246 1337 1424 1528 2492 2674 3056 4361 4984 5348 8722 9359 9968 10696 14969 16999 17444 18718 21392 29938 33998 34888 37436 59876 67996 69776 74872 104783 118993 119752 135992 149744 209566 237986 239504 271984 419132 475972 733481 832951 838264 951944 1332241 1466962 1665902 1676528 1903888 2664482 2859079 2933924 3331804 5328964 5718158 5867848 6663608 9325687 10657928 11436316 11735696 13327216 18651374 20013553 21315856 22872632 37302748 40027106 45745264 65279809 74605496 80054212 130559618 140094871 149210992 160108424 254458031 261119236 280189742 320216848 508916062 522238472 560379484 1017832124 1044476944 1120758968 1781206217 2035664248 2241517936 3562412434 4071328496 7124824868 12468443519 14249649736 24936887038 28499299472 49873774076 99747548152 199495096304