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199530018480 = 243513195989641
BaseRepresentation
bin1011100111010011101…
…0100111011010110000
3201002000120221011001110
42321310322213122300
511232114141042410
6231355100433320
720262353113332
oct2716472473260
9632016834043
10199530018480
1177690548121
1232806248840
1315a7ab475c0
14992b901452
1552cc08a720
hex2e74ea76b0

199530018480 has 640 divisors, whose sum is σ = 722203776000. Its totient is φ = 45156925440.

The previous prime is 199530018473. The next prime is 199530018547. The reversal of 199530018480 is 84810035991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311278960 + ... + 311279600.

It is an arithmetic number, because the mean of its divisors is an integer number (1128443400).

Almost surely, 2199530018480 is an apocalyptic number.

199530018480 is a gapful number since it is divisible by the number (10) 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 199530018480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361101888000).

199530018480 is an abundant number, since it is smaller than the sum of its proper divisors (522673757520).

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

199530018480 is a wasteful number, since it uses less digits than its factorization.

199530018480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 199530018480 in words is "one hundred ninety-nine billion, five hundred thirty million, eighteen thousand, four hundred eighty".