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189720233095536 = 2432111378711706859
BaseRepresentation
bin101011001000110010101111…
…000110011011000101110000
3220212202002002020121112012200
4223020302233012123011300
5144331334014133024121
61511300134420423200
754650556144326343
oct5310625706330560
9825662066545180
10189720233095536
11554a599864a1a0
1219341076247b00
1381b2706083950
1434bc7189d445a
1516e00d2deda26
hexac8caf19b170

189720233095536 has 240 divisors, whose sum is σ = 624569784558720. Its totient is φ = 53001160634880.

The previous prime is 189720233095513. The next prime is 189720233095537. The reversal of 189720233095536 is 635590332027981.

It is a happy number.

189720233095536 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 2 + 0 + 2 + 3 + 3 + 0 + 95 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189720233095537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10352475 + ... + 22059333.

It is an arithmetic number, because the mean of its divisors is an integer number (2602374102328).

Almost surely, 2189720233095536 is an apocalyptic number.

189720233095536 is a gapful number since it is divisible by the number (16) 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 189720233095536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312284892279360).

189720233095536 is an abundant number, since it is smaller than the sum of its proper divisors (434849551463184).

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

189720233095536 is a wasteful number, since it uses less digits than its factorization.

189720233095536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11707684 (or 11707675 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 189720233095536 in words is "one hundred eighty-nine trillion, seven hundred twenty billion, two hundred thirty-three million, ninety-five thousand, five hundred thirty-six".