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198828560736 = 253313231077193
BaseRepresentation
bin1011100100101100011…
…0110001000101100000
3201000012201000101221000
42321023012301011200
511224200102420421
6231201322032000
720236104611121
oct2711306610540
9630181011830
10198828560736
11773605a2583
123264b348600
1315998717850
1498a26a8048
15528a6cb226
hex2e4b1b1160

198828560736 has 384 divisors, whose sum is σ = 657860797440. Its totient is φ = 57963147264.

The previous prime is 198828560701. The next prime is 198828560737. The reversal of 198828560736 is 637065828891.

198828560736 is a `hidden beast` number, since 19 + 8 + 8 + 2 + 8 + 5 + 607 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198828560737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27638356 + ... + 27645548.

It is an arithmetic number, because the mean of its divisors is an integer number (1713179160).

Almost surely, 2198828560736 is an apocalyptic number.

198828560736 is a gapful number since it is divisible by the number (16) 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 198828560736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328930398720).

198828560736 is an abundant number, since it is smaller than the sum of its proper divisors (459032236704).

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

198828560736 is a wasteful number, since it uses less digits than its factorization.

198828560736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 198828560736 in words is "one hundred ninety-eight billion, eight hundred twenty-eight million, five hundred sixty thousand, seven hundred thirty-six".