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2733211312 = 2413217371607
BaseRepresentation
bin1010001011101001…
…0111111010110000
321001111000112001121
42202322113322300
521044200230222
61131114112024
7124505625046
oct24272277260
97044015047
102733211312
111182910127
1264341b614
13347344300
141bcdda396
1510ee455c7
hexa2e97eb0

2733211312 has 120 divisors (see below), whose sum is σ = 6239573856. Its totient is φ = 1154469888.

The previous prime is 2733211309. The next prime is 2733211321. The reversal of 2733211312 is 2131123372.

It is a happy number.

It is a super-2 number, since 2×27332113122 = 14940888152089522688, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1700013 + ... + 1701619.

Almost surely, 22733211312 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 2733211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119786928).

2733211312 is an abundant number, since it is smaller than the sum of its proper divisors (3506362544).

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

2733211312 is a wasteful number, since it uses less digits than its factorization.

2733211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1676 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 2733211312 is about 52280.1234887600. The cubic root of 2733211312 is about 1398.1627791843.

Adding to 2733211312 its reverse (2131123372), we get a palindrome (4864334684).

The spelling of 2733211312 in words is "two billion, seven hundred thirty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 37 52 68 74 104 136 148 169 208 221 272 296 338 442 481 592 629 676 884 962 1258 1352 1607 1768 1924 2516 2704 2873 3214 3536 3848 5032 5746 6253 6428 7696 8177 10064 11492 12506 12856 16354 20891 22984 25012 25712 27319 32708 41782 45968 50024 54638 59459 65416 83564 100048 106301 109276 118918 130832 167128 212602 218552 237836 271583 334256 355147 425204 437104 475672 543166 710294 772967 850408 951344 1010803 1086332 1420588 1545934 1700816 2021606 2172664 2841176 3091868 4043212 4345328 4616911 5682352 6183736 8086424 9233822 10048571 12367472 13140439 16172848 18467644 20097142 26280878 36935288 40194284 52561756 73870576 80388568 105123512 160777136 170825707 210247024 341651414 683302828 1366605656 2733211312