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189111646080 = 2734573116811
BaseRepresentation
bin1011000000011111101…
…1101011011110000000
3200002010111220222220000
42300013323223132000
511044300040133310
6222513210520000
716443235316640
oct2600773533600
9602114828800
10189111646080
11732246597a5
1230799136000
1314aaa5851c6
14921dd94520
154dbc5da4c0
hex2c07eeb780

189111646080 has 640 divisors, whose sum is σ = 796775823360. Its totient is φ = 41828659200.

The previous prime is 189111646069. The next prime is 189111646091. The reversal of 189111646080 is 80646111981.

It is a happy number.

189111646080 is a `hidden beast` number, since 18 + 9 + 11 + 16 + 4 + 608 + 0 = 666.

189111646080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189111646069) and next prime (189111646091).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 11240875 + ... + 11257685.

It is an arithmetic number, because the mean of its divisors is an integer number (1244962224).

Almost surely, 2189111646080 is an apocalyptic number.

189111646080 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 189111646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398387911680).

189111646080 is an abundant number, since it is smaller than the sum of its proper divisors (607664177280).

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

189111646080 is a wasteful number, since it uses less digits than its factorization.

189111646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16880 (or 16859 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 189111646080 in words is "one hundred eighty-nine billion, one hundred eleven million, six hundred forty-six thousand, eighty".