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198345651048 = 2333193110914303
BaseRepresentation
bin1011100010111001010…
…0100111001101101000
3200221222001100001101000
42320232110213031220
511222202441313143
6231041351355000
720221122134136
oct2705624471550
9627861301330
10198345651048
1177132a49366
1232535682a60
131591c66767c
1498584c0756
15525d0dbbd3
hex2e2e527368

198345651048 has 256 divisors, whose sum is σ = 604200960000. Its totient is φ = 60054670080.

The previous prime is 198345651043. The next prime is 198345651059. The reversal of 198345651048 is 840156543891.

It is a happy number.

198345651048 is a `hidden beast` number, since 1 + 9 + 8 + 34 + 56 + 510 + 48 = 666.

198345651048 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 a junction number, because it is equal to n+sod(n) for n = 198345650985 and 198345651003.

It is not an unprimeable number, because it can be changed into a prime (198345651043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13860265 + ... + 13874567.

It is an arithmetic number, because the mean of its divisors is an integer number (2360160000).

Almost surely, 2198345651048 is an apocalyptic number.

198345651048 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 198345651048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302100480000).

198345651048 is an abundant number, since it is smaller than the sum of its proper divisors (405855308952).

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

198345651048 is a wasteful number, since it uses less digits than its factorization.

198345651048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14477 (or 14467 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 198345651048 in words is "one hundred ninety-eight billion, three hundred forty-five million, six hundred fifty-one thousand, forty-eight".