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2073117312 = 27327318293
BaseRepresentation
bin111101110010001…
…0100001010000000
312100110221021022200
41323210110022000
513221204223222
6541414033200
7102242130540
oct17344241200
95313837280
102073117312
119742477a2
1249a348800
13270667a46
1415948d320
15c2006eac
hex7b914280

2073117312 has 192 divisors, whose sum is σ = 7038620160. Its totient is φ = 573143040.

The previous prime is 2073117257. The next prime is 2073117331. The reversal of 2073117312 is 2137113702.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245838 + ... + 254130.

It is an arithmetic number, because the mean of its divisors is an integer number (36659480).

Almost surely, 22073117312 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 2073117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519310080).

2073117312 is an abundant number, since it is smaller than the sum of its proper divisors (4965502848).

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

2073117312 is a wasteful number, since it uses less digits than its factorization.

2073117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2073117312 is about 45531.4980206011. The cubic root of 2073117312 is about 1275.0913300206.

The spelling of 2073117312 in words is "two billion, seventy-three million, one hundred seventeen thousand, three hundred twelve".