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195611328 = 26331141251
BaseRepresentation
bin10111010100011…
…00101011000000
3111122002002022000
423222030223000
5400034030303
631224344000
74563445263
oct1352145300
9448062260
10195611328
11a0465760
1255615000
13316ab863
141bd9ccda
151228dda3
hexba8cac0

195611328 has 224 divisors, whose sum is σ = 645200640. Its totient is φ = 57600000.

The previous prime is 195611309. The next prime is 195611357. The reversal of 195611328 is 823116591.

195611328 is a `hidden beast` number, since 1 + 9 + 5 + 611 + 32 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (12960) is a multiple of the sum of its prime factors (324).

It is a junction number, because it is equal to n+sod(n) for n = 195611292 and 195611301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779203 + ... + 779453.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2195611328 is an apocalyptic number.

195611328 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 195611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

195611328 is an abundant number, since it is smaller than the sum of its proper divisors (449589312).

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

195611328 is a wasteful number, since it uses less digits than its factorization.

195611328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 195611328 is about 13986.1119686638. Note that the first 3 decimals coincide. The cubic root of 195611328 is about 580.4943545846.

The spelling of 195611328 in words is "one hundred ninety-five million, six hundred eleven thousand, three hundred twenty-eight".