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2704545168 = 2431335912073
BaseRepresentation
bin1010000100110100…
…0001010110010000
320222111002010111120
42201031001112100
521014330421133
61124211442240
7124010153223
oct24115012620
96874063446
102704545168
1111687108a6
126358b6380
133414184b0
141b92975ba
1510c681ab3
hexa1341590

2704545168 has 80 divisors (see below), whose sum is σ = 7545767040. Its totient is φ = 829780992.

The previous prime is 2704545163. The next prime is 2704545187. The reversal of 2704545168 is 8615454072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2704545163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217980 + ... + 230052.

It is an arithmetic number, because the mean of its divisors is an integer number (94322088).

Almost surely, 22704545168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704545168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772883520).

2704545168 is an abundant number, since it is smaller than the sum of its proper divisors (4841221872).

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

2704545168 is a wasteful number, since it uses less digits than its factorization.

2704545168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12456 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 2704545168 is about 52005.2417358097. The cubic root of 2704545168 is about 1393.2575750471.

The spelling of 2704545168 in words is "two billion, seven hundred four million, five hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 359 624 718 1077 1436 2154 2872 4308 4667 5744 8616 9334 12073 14001 17232 18668 24146 28002 36219 37336 48292 56004 72438 74672 96584 112008 144876 156949 193168 224016 289752 313898 470847 579504 627796 941694 1255592 1883388 2511184 3766776 4334207 7533552 8668414 13002621 17336828 26005242 34673656 52010484 56344691 69347312 104020968 112689382 169034073 208041936 225378764 338068146 450757528 676136292 901515056 1352272584 2704545168