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198790063920 = 24345722332687
BaseRepresentation
bin1011100100100011001…
…1111010011100110000
3201000010000120120020000
42321020303322130300
511224110224021140
6231153424550000
720235126443400
oct2711063723460
9630100516200
10198790063920
1177340899328
123263a482300
1315990759276
14989b526800
155287124a30
hex2e48cfa730

198790063920 has 600 divisors, whose sum is σ = 806897355264. Its totient is φ = 45225879552.

The previous prime is 198790063891. The next prime is 198790063937. The reversal of 198790063920 is 29360097891.

198790063920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73980817 + ... + 73983503.

Almost surely, 2198790063920 is an apocalyptic number.

198790063920 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 198790063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403448677632).

198790063920 is an abundant number, since it is smaller than the sum of its proper divisors (608107291344).

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

198790063920 is a wasteful number, since it uses less digits than its factorization.

198790063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 198790063920 in words is "one hundred ninety-eight billion, seven hundred ninety million, sixty-three thousand, nine hundred twenty".