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198394745472 = 2733711745531
BaseRepresentation
bin1011100011000100111…
…1111001001010000000
3200222002110201022021000
42320301033321022000
511222303023323342
6231050303532000
720222256340440
oct2706117711200
9628073638230
10198394745472
1177158730770
1232549bba000
1315929896821
149860c20120
15526258844c
hex2e313f9280

198394745472 has 256 divisors, whose sum is σ = 730024934400. Its totient is φ = 51531033600.

The previous prime is 198394745467. The next prime is 198394745473. The reversal of 198394745472 is 274547493891.

198394745472 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 94 + 74 + 5 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198394745473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106654 + ... + 638877.

It is an arithmetic number, because the mean of its divisors is an integer number (2851659900).

Almost surely, 2198394745472 is an apocalyptic number.

198394745472 is a gapful number since it is divisible by the number (12) 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 198394745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365012467200).

198394745472 is an abundant number, since it is smaller than the sum of its proper divisors (531630188928).

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

198394745472 is a wasteful number, since it uses less digits than its factorization.

198394745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745572 (or 745554 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 198394745472 in words is "one hundred ninety-eight billion, three hundred ninety-four million, seven hundred forty-five thousand, four hundred seventy-two".