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198151325568 = 2733753154543
BaseRepresentation
bin1011100010001010111…
…1010100011110000000
3200221110111200021221000
42320202233110132000
511221303214404233
6231010210332000
720213242322430
oct2704257243600
9627414607830
10198151325568
1177043291799
12324a058a000
13158bb319191
14983a7782c0
15524b003d13
hex2e22bd4780

198151325568 has 256 divisors, whose sum is σ = 680982681600. Its totient is φ = 55546103808.

The previous prime is 198151325563. The next prime is 198151325573. The reversal of 198151325568 is 865523151891.

198151325568 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 51 + 3 + 25 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (198151325563) and next prime (198151325573).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198151325563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204905 + ... + 1359447.

It is an arithmetic number, because the mean of its divisors is an integer number (2660088600).

Almost surely, 2198151325568 is an apocalyptic number.

198151325568 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 198151325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340491340800).

198151325568 is an abundant number, since it is smaller than the sum of its proper divisors (482831356032).

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

198151325568 is a wasteful number, since it uses less digits than its factorization.

198151325568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154626 (or 154608 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 198151325568 in words is "one hundred ninety-eight billion, one hundred fifty-one million, three hundred twenty-five thousand, five hundred sixty-eight".