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189548778384 = 243272712732
BaseRepresentation
bin1011000010000111111…
…1001101001110010000
3200010020222110121200100
42300201333031032100
511101143441402014
6223024424052400
716460124014100
oct2604177151620
9603228417610
10189548778384
1173429386769
123089b604100
1314b49cc7c84
149262063200
154de5b86009
hex2c21fcd390

189548778384 has 405 divisors, whose sum is σ = 634586256369. Its totient is φ = 52662597120.

The previous prime is 189548778347. The next prime is 189548778389. The reversal of 189548778384 is 483877845981.

The square root of 189548778384 is 435372.

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

189548778384 is a `hidden beast` number, since 1 + 8 + 9 + 548 + 7 + 78 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107597120400 + 81951657984 = 328020^2 + 286272^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (189548778389) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2596558572 + ... + 2596558644.

Almost surely, 2189548778384 is an apocalyptic number.

189548778384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

189548778384 is the 435372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189548778384

189548778384 is an abundant number, since it is smaller than the sum of its proper divisors (445037477985).

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

189548778384 is an equidigital number, since it uses as much as digits as its factorization.

189548778384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 189548778384 in words is "one hundred eighty-nine billion, five hundred forty-eight million, seven hundred seventy-eight thousand, three hundred eighty-four".