Search a number
-
+
32984468448 = 2531272705419
BaseRepresentation
bin11110101110000001…
…110000101111100000
310011010202002121102120
4132232001300233200
51020023010442243
623053003344240
72245246233021
oct365601605740
9104122077376
1032984468448
1112a96966388
126486522080
13315879c069
14184c96ac48
15cd0b50c83
hex7ae070be0

32984468448 has 48 divisors (see below), whose sum is σ = 87266027520. Its totient is φ = 10908245376.

The previous prime is 32984468417. The next prime is 32984468497. The reversal of 32984468448 is 84486448923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 32984468391 and 32984468400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1340518 + ... + 1364901.

It is an arithmetic number, because the mean of its divisors is an integer number (1818042240).

Almost surely, 232984468448 is an apocalyptic number.

It is an amenable number.

32984468448 is an abundant number, since it is smaller than the sum of its proper divisors (54281559072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32984468448 is a wasteful number, since it uses less digits than its factorization.

32984468448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705559 (or 2705551 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 32984468448 in words is "thirty-two billion, nine hundred eighty-four million, four hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 2705419 5410838 8116257 10821676 16232514 21643352 32465028 43286704 64930056 86573408 129860112 259720224 343588213 687176426 1030764639 1374352852 2061529278 2748705704 4123058556 5497411408 8246117112 10994822816 16492234224 32984468448