Search a number
-
+
192289266064 = 2472156612
BaseRepresentation
bin1011001100010101010…
…1010101100110010000
3200101022222011211001001
42303011111111212100
511122302023003224
6224200402151344
716615051536100
oct2630525254620
9611288154031
10192289266064
1174605306715
1231325352554
13151959b920c
149441dd5200
155006567544
hex2cc5555990

192289266064 has 45 divisors (see below), whose sum is σ = 433414324161. Its totient is φ = 82404423360.

The previous prime is 192289266023. The next prime is 192289266109. The reversal of 192289266064 is 460662982291.

The square root of 192289266064 is 438508.

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

It can be written as a sum of positive squares in only one way, i.e., 190525266064 + 1764000000 = 436492^2 + 42000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 192289265996 and 192289266014.

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 8 ways as a sum of consecutive naturals, for example, 12270394 + ... + 12286054.

Almost surely, 2192289266064 is an apocalyptic number.

192289266064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

192289266064 is the 438508-th square number.

It is an amenable number.

192289266064 is an abundant number, since it is smaller than the sum of its proper divisors (241125058097).

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

192289266064 is an frugal number, since it uses more digits than its factorization.

192289266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31344 (or 15670 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 192289266064 in words is "one hundred ninety-two billion, two hundred eighty-nine million, two hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 15661 31322 62644 109627 125288 219254 250576 438508 767389 877016 1534778 1754032 3069556 6139112 12278224 245266921 490533842 981067684 1716868447 1962135368 3433736894 3924270736 6867473788 12018079129 13734947576 24036158258 27469895152 48072316516 96144633032 192289266064