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189543068640 = 25325131627131
BaseRepresentation
bin1011000010000110100…
…1011011001111100000
3200010020120201112101100
42300201221123033200
511101141011144030
6223024101434400
716460024333442
oct2604151331740
9603216645340
10189543068640
1173426136972
123089970ba00
1314b48a79123
1492613b8492
154de5409360
hex2c21a5b3e0

189543068640 has 72 divisors (see below), whose sum is σ = 646815726648. Its totient is φ = 50544817920.

The previous prime is 189543068629. The next prime is 189543068683. The reversal of 189543068640 is 46860345981.

189543068640 is a `hidden beast` number, since 1 + 8 + 95 + 430 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 65812126 + ... + 65815005.

It is an arithmetic number, because the mean of its divisors is an integer number (8983551759).

Almost surely, 2189543068640 is an apocalyptic number.

189543068640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189543068640 is an abundant number, since it is smaller than the sum of its proper divisors (457272658008).

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

189543068640 is a wasteful number, since it uses less digits than its factorization.

189543068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131627152 (or 131627141 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 189543068640 in words is "one hundred eighty-nine billion, five hundred forty-three million, sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 131627131 263254262 394881393 526508524 658135655 789762786 1053017048 1184644179 1316271310 1579525572 1974406965 2106034096 2369288358 2632542620 3159051144 3948813930 4212068192 4738576716 5265085240 5923220895 6318102288 7897627860 9477153432 10530170480 11846441790 12636204576 15795255720 18954306864 21060340960 23692883580 31590511440 37908613728 47385767160 63181022880 94771534320 189543068640