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189813195360 = 253251739719531
BaseRepresentation
bin1011000011000110111…
…1111000001001100000
3200010221102000101120200
42300301233320021200
511102214134222420
6223110551305200
716466514353055
oct2606157701140
9603842011520
10189813195360
1173554667098
123095407b200
1314b8ca17819
14928921302c
154e0deb6b90
hex2c31bf8260

189813195360 has 288 divisors, whose sum is σ = 687602496672. Its totient is φ = 47516958720.

The previous prime is 189813195359. The next prime is 189813195361. The reversal of 189813195360 is 63591318981.

189813195360 is a `hidden beast` number, since 1 + 8 + 98 + 1 + 3 + 19 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (189813195359) and next prime (189813195361).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 189813195297 and 189813195306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189813195361) 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 47 ways as a sum of consecutive naturals, for example, 9708795 + ... + 9728325.

It is an arithmetic number, because the mean of its divisors is an integer number (2387508669).

Almost surely, 2189813195360 is an apocalyptic number.

189813195360 is a gapful number since it is divisible by the number (10) 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 189813195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343801248336).

189813195360 is an abundant number, since it is smaller than the sum of its proper divisors (497789301312).

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

189813195360 is a wasteful number, since it uses less digits than its factorization.

189813195360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19966 (or 19955 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 189813195360 in words is "one hundred eighty-nine billion, eight hundred thirteen million, one hundred ninety-five thousand, three hundred sixty".