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38063619801 = 32650332
BaseRepresentation
bin100011011100110001…
…001011111011011001
310122020201102020020100
4203130301023323121
51110423241313201
625253003250013
72515152300324
oct433461137331
9118221366210
1038063619801
1115162a14a29
127463519909
133787b5196c
141bb13537bb
15ecb9de886
hex8dcc4bed9

38063619801 has 9 divisors (see below), whose sum is σ = 54981629599. Its totient is φ = 25375356336.

The previous prime is 38063619767. The next prime is 38063619827. The reversal of 38063619801 is 10891636083.

It is a happy number.

The square root of 38063619801 is 195099.

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

38063619801 is a `hidden beast` number, since 3 + 8 + 0 + 636 + 1 + 9 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35703992025 + 2359627776 = 188955^2 + 48576^2 .

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-38063619801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38063619001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 552781 + ... + 617813.

Almost surely, 238063619801 is an apocalyptic number.

38063619801 is the 195099-th square number.

38063619801 is the 97550-th centered octagonal number.

It is an amenable number.

38063619801 is a deficient number, since it is larger than the sum of its proper divisors (16918009798).

38063619801 is an frugal number, since it uses more digits than its factorization.

38063619801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130072 (or 65036 counting only the distinct ones).

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

The spelling of 38063619801 in words is "thirty-eight billion, sixty-three million, six hundred nineteen thousand, eight hundred one".

Divisors: 1 3 9 65033 195099 585297 4229291089 12687873267 38063619801