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200832148449 = 321493812
BaseRepresentation
bin1011101100001010000…
…1110110001111100001
3201012101100010012120100
42323002201312033201
511242301012222244
6232132213533013
720336544044532
oct2730241661741
9635340105510
10200832148449
117819956a699
1232b0a344169
1315c27849bca
149a12818689
15535654bb69
hex2ec28763e1

200832148449 has 9 divisors (see below), whose sum is σ = 290092823059. Its totient is φ = 133887202680.

The previous prime is 200832148427. The next prime is 200832148457. The reversal of 200832148449 is 944841238002.

The square root of 200832148449 is 448143.

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

200832148449 is a `hidden beast` number, since 200 + 8 + 321 + 4 + 84 + 49 = 666.

200832148449 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., 194663616849 + 6168531600 = 441207^2 + 78540^2 .

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

It is not a de Polignac number, because 200832148449 - 25 = 200832148417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200832148499) 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, 1269739 + ... + 1419119.

Almost surely, 2200832148449 is an apocalyptic number.

200832148449 is the 448143-rd square number.

200832148449 is the 224072-nd centered octagonal number.

It is an amenable number.

200832148449 is a deficient number, since it is larger than the sum of its proper divisors (89260674610).

200832148449 is an frugal number, since it uses more digits than its factorization.

200832148449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298768 (or 149384 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

It can be divided in two parts, 200832 and 148449, that added together give a square (349281 = 5912).

The spelling of 200832148449 in words is "two hundred billion, eight hundred thirty-two million, one hundred forty-eight thousand, four hundred forty-nine".

Divisors: 1 3 9 149381 448143 1344429 22314683161 66944049483 200832148449