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36442428201 = 34212112
BaseRepresentation
bin100001111100001000…
…110101001100101001
310111001201212011110000
4201330020311030221
51044113230200301
624424051413213
72430035346234
oct417410651451
9114051764400
1036442428201
1114500889763
1270905b4209
13358a0092aa
141a99d0441b
15e34506786
hex87c235329

36442428201 has 15 divisors (see below), whose sum is σ = 54441255693. Its totient is φ = 24293806740.

The previous prime is 36442428193. The next prime is 36442428247. The reversal of 36442428201 is 10282424463.

The square root of 36442428201 is 190899.

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

36442428201 is a `hidden beast` number, since 3 + 6 + 4 + 424 + 28 + 201 = 666.

It is not a de Polignac number, because 36442428201 - 23 = 36442428193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36442428251) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1707486 + ... + 1728696.

Almost surely, 236442428201 is an apocalyptic number.

36442428201 is the 190899-th square number.

36442428201 is the 95450-th centered octagonal number.

It is an amenable number.

36442428201 is a deficient number, since it is larger than the sum of its proper divisors (17998827492).

36442428201 is an frugal number, since it uses more digits than its factorization.

36442428201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42434 (or 21214 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Multiplying 36442428201 by its sum of digits (36), we get a square (1311927415236 = 11453942).

The spelling of 36442428201 in words is "thirty-six billion, four hundred forty-two million, four hundred twenty-eight thousand, two hundred one".

Divisors: 1 3 9 27 81 21211 63633 190899 572697 1718091 449906521 1349719563 4049158689 12147476067 36442428201