Search a number
-
+
26847150201 = 32546172
BaseRepresentation
bin11001000000001101…
…110000000001111001
32120022000122112112100
4121000031300001321
5414440332301301
620200003334013
71640204003634
oct310015600171
976260575470
1026847150201
1110427575343
125253081309
1326bb1247c1
141429814c1b
15a71e41286
hex640370079

26847150201 has 9 divisors (see below), whose sum is σ = 38779926991. Its totient is φ = 17897772432.

The previous prime is 26847150191. The next prime is 26847150217. The reversal of 26847150201 is 10205174862.

The square root of 26847150201 is 163851.

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

26847150201 is a `hidden beast` number, since 2 + 6 + 84 + 71 + 502 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16691348025 + 10155802176 = 129195^2 + 100776^2 .

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-26847150201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26847157201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 464245 + ... + 518861.

Almost surely, 226847150201 is an apocalyptic number.

26847150201 is the 163851-st square number.

26847150201 is the 81926-th centered octagonal number.

It is an amenable number.

26847150201 is a deficient number, since it is larger than the sum of its proper divisors (11932776790).

26847150201 is an frugal number, since it uses more digits than its factorization.

26847150201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109240 (or 54620 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 26847150201 by its sum of digits (36), we get a square (966497407236 = 9831062).

The spelling of 26847150201 in words is "twenty-six billion, eight hundred forty-seven million, one hundred fifty thousand, two hundred one".

Divisors: 1 3 9 54617 163851 491553 2983016689 8949050067 26847150201