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193468902201 = 321466172
BaseRepresentation
bin1011010000101110100…
…1010010101100111001
3200111101011212112121100
42310023221102230321
511132211014332301
6224513422002013
716656224351361
oct2641351225471
9614334775540
10193468902201
1175060173813
12315b4416309
1315323200773
1495149439a1
155074dce286
hex2d0ba52b39

193468902201 has 9 divisors (see below), whose sum is σ = 279456986991. Its totient is φ = 128978388432.

The previous prime is 193468902191. The next prime is 193468902217. The reversal of 193468902201 is 102209864391.

The square root of 193468902201 is 439851.

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

193468902201 is a `hidden beast` number, since 1 + 9 + 346 + 89 + 0 + 220 + 1 = 666.

193468902201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102761919225 + 90706982976 = 320565^2 + 301176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-193468902201 is a prime.

It is a super-2 number, since 2×1934689022012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193468902301) by changing a digit.

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, 1246245 + ... + 1392861.

Almost surely, 2193468902201 is an apocalyptic number.

193468902201 is the 439851-st square number.

193468902201 is the 219926-th centered octagonal number.

It is an amenable number.

193468902201 is a deficient number, since it is larger than the sum of its proper divisors (85988084790).

193468902201 is an frugal number, since it uses more digits than its factorization.

193468902201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293240 (or 146620 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 193468902201 in words is "one hundred ninety-three billion, four hundred sixty-eight million, nine hundred two thousand, two hundred one".

Divisors: 1 3 9 146617 439851 1319553 21496544689 64489634067 193468902201