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193863209401 = 412107392
BaseRepresentation
bin1011010010001100100…
…1011101000110111001
3200112101122211102101201
42310203021131012321
511134012440200101
6225020505214201
720002053043141
oct2644311350671
9615348742351
10193863209401
1175242800634
12316a4491361
1315386acab34
149551065921
15509981ae01
hex2d2325d1b9

193863209401 has 9 divisors (see below), whose sum is σ = 198725411503. Its totient is φ = 189117226480.

The previous prime is 193863209341. The next prime is 193863209429. The reversal of 193863209401 is 104902368391.

It is a happy number.

The square root of 193863209401 is 440299.

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

193863209401 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., 9341415801 + 184521793600 = 96651^2 + 429560^2 .

It is not a de Polignac number, because 193863209401 - 231 = 191715725753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193863209471) 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, 18046890 + ... + 18057628.

Almost surely, 2193863209401 is an apocalyptic number.

193863209401 is the 440299-th square number.

193863209401 is the 220150-th centered octagonal number.

It is an amenable number.

193863209401 is a deficient number, since it is larger than the sum of its proper divisors (4862202102).

193863209401 is an frugal number, since it uses more digits than its factorization.

193863209401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21560 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 193863209401 in words is "one hundred ninety-three billion, eight hundred sixty-three million, two hundred nine thousand, four hundred one".

Divisors: 1 41 1681 10739 440299 18052259 115326121 4728370961 193863209401