Search a number
-
+
194095106967204 = 22347739892
BaseRepresentation
bin101100001000011101001001…
…111001110100011010100100
3221110020022101201122000210000
4230020131021321310122210
5200420023234340422304
61524450021114501300
755611623455555152
oct5410351171643244
9843208351560700
10194095106967204
11569322aa91a043
1219928b22734830
13843c122ac2a51
1435d03790ba3d2
151768cd49b8939
hexb08749e746a4

194095106967204 has 45 divisors (see below), whose sum is σ = 507403604956017. Its totient is φ = 64698285398256.

The previous prime is 194095106967193. The next prime is 194095106967343. The reversal of 194095106967204 is 402769601590491.

The square root of 194095106967204 is 13931802.

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

194095106967204 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 9 + 510 + 6 + 96 + 7 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134349009173604 + 59746097793600 = 11590902^2 + 7729560^2 .

It is a super-2 number, since 2×1940951069672042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 250385442 + ... + 251159430.

Almost surely, 2194095106967204 is an apocalyptic number.

194095106967204 is the 13931802-nd square number.

It is an amenable number.

194095106967204 is an abundant number, since it is smaller than the sum of its proper divisors (313308497988813).

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

194095106967204 is an frugal number, since it uses more digits than its factorization.

194095106967204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547994 (or 773994 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 194095106967204 in words is "one hundred ninety-four trillion, ninety-five billion, one hundred six million, nine hundred sixty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 773989 1547978 2321967 3095956 4643934 6965901 9287868 13931802 20897703 27863604 41795406 62693109 83590812 125386218 250772436 599058972121 1198117944242 1797176916363 2396235888484 3594353832726 5391530749089 7188707665452 10783061498178 16174592247267 21566122996356 32349184494534 48523776741801 64698368989068 97047553483602 194095106967204