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198110620368 = 24341761147409
BaseRepresentation
bin1011100010000001010…
…0000010101011010000
3200221100200002020220000
42320200110002223100
511221212304322433
6231002154050000
720212236326403
oct2704024025320
9627320066800
10198110620368
117702230a331
123248aa19900
13158b2a6666b
1498351bdd3a
155247663113
hex2e20502ad0

198110620368 has 200 divisors, whose sum is σ = 617075359560. Its totient is φ = 61133045760.

The previous prime is 198110620361. The next prime is 198110620397. The reversal of 198110620368 is 863026011891.

198110620368 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 10 + 620 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27399518784 + 170711101584 = 165528^2 + 413172^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198110620361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1270248 + ... + 1417656.

Almost surely, 2198110620368 is an apocalyptic number.

198110620368 is a gapful number since it is divisible by the number (18) 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 198110620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308537679780).

198110620368 is an abundant number, since it is smaller than the sum of its proper divisors (418964739192).

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

198110620368 is a wasteful number, since it uses less digits than its factorization.

198110620368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147507 (or 147492 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 198110620368 in words is "one hundred ninety-eight billion, one hundred ten million, six hundred twenty thousand, three hundred sixty-eight".