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198496596168 = 2333132191372089
BaseRepresentation
bin1011100011011101010…
…0011011000011001000
3200222100120100212011000
42320313110123003020
511223010112034133
6231104342535000
720224634141313
oct2706724330310
9628316325130
10198496596168
11772001766a2
1232578137460
1315944a07800
14987057397a
15526b4a6413
hex2e3751b0c8

198496596168 has 384 divisors, whose sum is σ = 633370320000. Its totient is φ = 57411514368.

The previous prime is 198496596163. The next prime is 198496596203. The reversal of 198496596168 is 861695694891.

198496596168 is a `hidden beast` number, since 19 + 8 + 4 + 9 + 6 + 596 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198496596096 and 198496596105.

It is not an unprimeable number, because it can be changed into a prime (198496596163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95018868 + ... + 95020956.

It is an arithmetic number, because the mean of its divisors is an integer number (1649401875).

Almost surely, 2198496596168 is an apocalyptic number.

198496596168 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 198496596168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316685160000).

198496596168 is an abundant number, since it is smaller than the sum of its proper divisors (434873723832).

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

198496596168 is a wasteful number, since it uses less digits than its factorization.

198496596168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2263 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 198496596168 in words is "one hundred ninety-eight billion, four hundred ninety-six million, five hundred ninety-six thousand, one hundred sixty-eight".