Search a number
-
+
192464709264 = 2432365592
BaseRepresentation
bin1011001100111111001…
…0100110011010010000
3200101210012022020212100
42303033302212122100
511123131431144024
6224230030400400
716622312015232
oct2631762463220
9611705266770
10192464709264
11746953467a3
1231374060100
13151c3155c69
14945b424252
155016b707c9
hex2ccfca6690

192464709264 has 45 divisors (see below), whose sum is σ = 538648607523. Its totient is φ = 64153148256.

The previous prime is 192464709223. The next prime is 192464709287. The reversal of 192464709264 is 462907464291.

The square root of 192464709264 is 438708.

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

192464709264 is a `hidden beast` number, since 1 + 9 + 24 + 6 + 470 + 92 + 64 = 666.

192464709264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 192464709264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5246217 + ... + 5282775.

Almost surely, 2192464709264 is an apocalyptic number.

192464709264 is the 438708-th square number.

It is an amenable number.

192464709264 is an abundant number, since it is smaller than the sum of its proper divisors (346183898259).

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

192464709264 is an frugal number, since it uses more digits than its factorization.

192464709264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73132 (or 36564 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 192464709264 in words is "one hundred ninety-two billion, four hundred sixty-four million, seven hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 36559 73118 109677 146236 219354 292472 329031 438708 584944 658062 877416 1316124 1754832 2632248 5264496 1336560481 2673120962 4009681443 5346241924 8019362886 10692483848 12029044329 16038725772 21384967696 24058088658 32077451544 48116177316 64154903088 96232354632 192464709264