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7189683264 = 263235332
BaseRepresentation
bin1101011001000100…
…11101110001000000
3200120001122202022100
412230202131301000
5104211024331024
63145231510400
7343111204461
oct65442356100
920501582270
107189683264
11305a4304a5
121487988400
138a76ba46a
144c2c14d68
152c12d67c9
hex1ac89dc40

7189683264 has 63 divisors (see below), whose sum is σ = 20613763573. Its totient is φ = 2395882752.

The previous prime is 7189683257. The next prime is 7189683287. The reversal of 7189683264 is 4623869817.

The square root of 7189683264 is 84792.

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

It can be written as a sum of positive squares in only one way, i.e., 5879822400 + 1309860864 = 76680^2 + 36192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7189683264.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2033242 + ... + 2036774.

Almost surely, 27189683264 is an apocalyptic number.

7189683264 is the 84792-nd square number.

It is an amenable number.

7189683264 is an abundant number, since it is smaller than the sum of its proper divisors (13424080309).

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

7189683264 is an frugal number, since it uses more digits than its factorization.

7189683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 3538 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The cubic root of 7189683264 is about 1930.0560413985.

The spelling of 7189683264 in words is "seven billion, one hundred eighty-nine million, six hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3533 7066 10599 14132 21198 28264 31797 42396 56528 63594 84792 113056 127188 169584 226112 254376 339168 508752 678336 1017504 2035008 12482089 24964178 37446267 49928356 74892534 99856712 112338801 149785068 199713424 224677602 299570136 399426848 449355204 599140272 798853696 898710408 1198280544 1797420816 2396561088 3594841632 7189683264