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198353148354 = 2333673206451
BaseRepresentation
bin1011100010111011000…
…1001101100111000010
3200221222120102221202000
42320232301031213002
511222211401221404
6231042220204430
720221242641154
oct2705661154702
9627876387660
10198353148354
11771371aa189
1232538099716
131592109104a
1498594b2ad4
15525dabd339
hex2e2ec4d9c2

198353148354 has 16 divisors (see below), whose sum is σ = 440784774240. Its totient is φ = 66117716100.

The previous prime is 198353148307. The next prime is 198353148419. The reversal of 198353148354 is 453841353891.

It is a happy number.

198353148354 is a `hidden beast` number, since 1 + 9 + 83 + 5 + 31 + 483 + 54 = 666.

198353148354 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), and also a Moran number because the ratio is a prime number: 3673206451 = 198353148354 / (1 + 9 + 8 + 3 + 5 + 3 + 1 + 4 + 8 + 3 + 5 + 4).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 198353148354.

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 7 ways as a sum of consecutive naturals, for example, 1836603172 + ... + 1836603279.

It is an arithmetic number, because the mean of its divisors is an integer number (27549048390).

Almost surely, 2198353148354 is an apocalyptic number.

198353148354 is an abundant number, since it is smaller than the sum of its proper divisors (242431625886).

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

198353148354 is a wasteful number, since it uses less digits than its factorization.

198353148354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673206462 (or 3673206456 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 198353148354 in words is "one hundred ninety-eight billion, three hundred fifty-three million, one hundred forty-eight thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 3673206451 7346412902 11019619353 22039238706 33058858059 66117716118 99176574177 198353148354