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2012203463552 = 271512293831187
BaseRepresentation
bin11101010010000000101…
…011000011001110000000
321010100211220211000211122
4131102000223003032000
5230431443041313202
64140220555331412
7265243164143012
oct35220053031600
97110756730748
102012203463552
11706409440657
12285b8aa50b68
131179998c6819
146d5695121b2
153751e53d9a2
hex1d480ac3380

2012203463552 has 128 divisors (see below), whose sum is σ = 4066860441600. Its totient is φ = 991640217600.

The previous prime is 2012203463551. The next prime is 2012203463593. The reversal of 2012203463552 is 2553643022102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012203463551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695200303 + ... + 1695201489.

It is an arithmetic number, because the mean of its divisors is an integer number (31772347200).

Almost surely, 22012203463552 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 2012203463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033430220800).

2012203463552 is an abundant number, since it is smaller than the sum of its proper divisors (2054656978048).

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

2012203463552 is a wasteful number, since it uses less digits than its factorization.

2012203463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 2012203463552 its reverse (2553643022102), we get a palindrome (4565846485654).

The spelling of 2012203463552 in words is "two trillion, twelve billion, two hundred three million, four hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 151 229 302 383 458 604 766 916 1187 1208 1532 1832 2374 2416 3064 3664 4748 4832 6128 7328 9496 9664 12256 14656 18992 19328 24512 29312 34579 37984 49024 57833 69158 75968 87707 115666 138316 151936 175414 179237 231332 271823 276632 350828 358474 454621 462664 543646 553264 701656 716948 909242 925328 1087292 1106528 1403312 1433896 1818484 1850656 2174584 2213056 2806624 2867792 3636968 3701312 4349168 4426112 5613248 5735584 7273936 7402624 8698336 11226496 11471168 13243757 14547872 17396672 22942336 26487514 29095744 34793344 41045273 52975028 58191488 68647771 82090546 104108209 105950056 137295542 164181092 208216418 211900112 274591084 328362184 416432836 423800224 549182168 656724368 832865672 847600448 1098364336 1313448736 1665731344 1695200896 2196728672 2626897472 3331462688 4393457344 5253794944 6662925376 8786914688 13325850752 15720339559 31440679118 62881358236 125762716472 251525432944 503050865888 1006101731776 2012203463552