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189486090000 = 24325414512
BaseRepresentation
bin1011000001111001000…
…0000100011100010000
3200010002121111201101100
42300132100010130100
511101031414340000
6223014304304400
716455433122114
oct2603620043420
9603077451340
10189486090000
11733a6a59a89
1230882612100
1314b3a01945c
1492579c5744
154de0401a00
hex2c1e404710

189486090000 has 225 divisors, whose sum is σ = 663117233779. Its totient is φ = 50494800000.

The previous prime is 189486089981. The next prime is 189486090007. The reversal of 189486090000 is 90684981.

The square root of 189486090000 is 435300.

It is a perfect power (a square), and thus also a powerful number.

189486090000 is a `hidden beast` number, since 1 + 89 + 486 + 0 + 90 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14855709456 + 174630380544 = 121884^2 + 417888^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189486090007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130589275 + ... + 130590725.

Almost surely, 2189486090000 is an apocalyptic number.

189486090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189486090000 is the 435300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189486090000

189486090000 is an abundant number, since it is smaller than the sum of its proper divisors (473631143779).

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

189486090000 is an frugal number, since it uses more digits than its factorization.

189486090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 189486090000 in words is "one hundred eighty-nine billion, four hundred eighty-six million, ninety thousand".