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2071114752 = 21037213759
BaseRepresentation
bin111101101110010…
…1011010000000000
312100100011112022210
41323130223100000
513220201133002
6541303102120
7102216120300
oct17334532000
95310145283
102071114752
119730aa193
12499741940
132701163b5
141590cb600
15c1c5d96c
hex7b72b400

2071114752 has 132 divisors (see below), whose sum is σ = 6422012160. Its totient is φ = 591704064.

The previous prime is 2071114739. The next prime is 2071114753. The reversal of 2071114752 is 2574111702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071114753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143649 + ... + 157407.

Almost surely, 22071114752 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 2071114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211006080).

2071114752 is an abundant number, since it is smaller than the sum of its proper divisors (4350897408).

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

2071114752 is a wasteful number, since it uses less digits than its factorization.

2071114752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13796 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 2071114752 is about 45509.5017771014. The cubic root of 2071114752 is about 1274.6806329669.

The spelling of 2071114752 in words is "two billion, seventy-one million, one hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 13759 18816 21504 25088 27518 37632 41277 50176 55036 75264 82554 96313 110072 150528 165108 192626 220144 288939 330216 385252 440288 577878 660432 674191 770504 880576 1155756 1320864 1348382 1541008 1761152 2022573 2311512 2641728 2696764 3082016 3522304 4045146 4623024 5283456 5393528 6164032 7044608 8090292 9246048 10566912 10787056 12328064 14089216 16180584 18492096 21133824 21574112 24656128 32361168 36984192 42267648 43148224 49312256 64722336 73968384 86296448 98624512 129444672 147936768 172592896 258889344 295873536 345185792 517778688 690371584 1035557376 2071114752