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189860262048 = 25322469726693
BaseRepresentation
bin1011000011010010001…
…1011011000010100000
3200011001200120121221100
42300310203123002200
511102313211341143
6223115352154400
716500625412532
oct2606443330240
9604050517840
10189860262048
1173579193a86
1230967998a00
1314b996b6a32
149291585852
154e131b26d3
hex2c348db0a0

189860262048 has 72 divisors (see below), whose sum is σ = 539957209428. Its totient is φ = 63281820672.

The previous prime is 189860262043. The next prime is 189860262061. The reversal of 189860262048 is 840262068981.

189860262048 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 6 + 0 + 2 + 620 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187984679184 + 1875582864 = 433572^2 + 43308^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 189860261985 and 189860262003.

It is not an unprimeable number, because it can be changed into a prime (189860262041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7099390 + ... + 7126082.

Almost surely, 2189860262048 is an apocalyptic number.

189860262048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189860262048 is an abundant number, since it is smaller than the sum of its proper divisors (350096947380).

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

189860262048 is a wasteful number, since it uses less digits than its factorization.

189860262048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51406 (or 51395 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 189860262048 in words is "one hundred eighty-nine billion, eight hundred sixty million, two hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 24697 26693 49394 53386 74091 80079 98788 106772 148182 160158 197576 213544 222273 240237 296364 320316 395152 427088 444546 480474 592728 640632 790304 854176 889092 960948 1185456 1281264 1778184 1921896 2370912 2562528 3556368 3843792 7112736 7687584 659237021 1318474042 1977711063 2636948084 3955422126 5273896168 5933133189 7910844252 10547792336 11866266378 15821688504 21095584672 23732532756 31643377008 47465065512 63286754016 94930131024 189860262048