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2427903933912 = 2332431794381043
BaseRepresentation
bin100011010101001010010…
…110011111110111011000
322121002211210120221012200
4203111022112133313120
5304234321401341122
65055210315210200
7340260502634052
oct43251226376730
98532753527180
102427903933912
11856739525796
12332664146960
13147c47c263c2
14857229568d2
154324e4b35ac
hex2354a59fdd8

2427903933912 has 96 divisors (see below), whose sum is σ = 6766084353600. Its totient is φ = 786064079808.

The previous prime is 2427903933841. The next prime is 2427903933929. The reversal of 2427903933912 is 2193393097242.

2427903933912 is a `hidden beast` number, since 2 + 4 + 279 + 0 + 39 + 339 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636338 + ... + 2744705.

It is an arithmetic number, because the mean of its divisors is an integer number (70480045350).

Almost surely, 22427903933912 is an apocalyptic number.

It is an amenable number.

2427903933912 is an abundant number, since it is smaller than the sum of its proper divisors (4338180419688).

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

2427903933912 is a wasteful number, since it uses less digits than its factorization.

2427903933912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381277 (or 4381270 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 2427903933912 in words is "two trillion, four hundred twenty-seven billion, nine hundred three million, nine hundred thirty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 179 258 344 358 387 516 537 716 774 1032 1074 1432 1548 1611 2148 3096 3222 4296 6444 7697 12888 15394 23091 30788 46182 61576 69273 92364 138546 184728 277092 554184 4381043 8762086 13143129 17524172 26286258 35048344 39429387 52572516 78858774 105145032 157717548 188384849 315435096 376769698 565154547 753539396 784206697 1130309094 1507078792 1568413394 1695463641 2260618188 2352620091 3136826788 3390927282 4521236376 4705240182 6273653576 6781854564 7057860273 9410480364 13563709128 14115720546 18820960728 28231441092 33720887971 56462882184 67441775942 101162663913 134883551884 202325327826 269767103768 303487991739 404650655652 606975983478 809301311304 1213951966956 2427903933912