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2012566306512 = 2431910332036689
BaseRepresentation
bin11101010010010110010…
…011001011111011010000
321010101210012120100210210
4131102112103023323100
5230433213433302022
64140321000324120
7265255161230136
oct35222623137320
97111705510723
102012566306512
11706585237973
12286070473640
13117a26b285b8
146d5a17a3756
1537541312a0c
hex1d4964cbed0

2012566306512 has 160 divisors (see below), whose sum is σ = 5528453299200. Its totient is φ = 629086334976.

The previous prime is 2012566306469. The next prime is 2012566306523. The reversal of 2012566306512 is 2156036652102.

It is a super-2 number, since 2×20125663065122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300873664 + ... + 300880352.

It is an arithmetic number, because the mean of its divisors is an integer number (34552833120).

Almost surely, 22012566306512 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 2012566306512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764226649600).

2012566306512 is an abundant number, since it is smaller than the sum of its proper divisors (3515886992688).

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

2012566306512 is a wasteful number, since it uses less digits than its factorization.

2012566306512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10025 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 2012566306512 in words is "two trillion, twelve billion, five hundred sixty-six million, three hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 824 912 1236 1648 1957 2472 3203 3914 4944 5871 6406 6689 7828 9609 11742 12812 13378 15656 19218 20067 23484 25624 26756 31312 38436 40134 46968 51248 53512 60857 76872 80268 93936 107024 121714 127091 153744 160536 182571 243428 254182 321072 329909 365142 381273 486856 508364 659818 688967 730284 762546 973712 989727 1016728 1319636 1377934 1460568 1525092 1979454 2033456 2066901 2639272 2755868 2921136 3050184 3958908 4133802 5278544 5511736 6100368 6268271 7917816 8267604 11023472 12536542 13090373 15835632 16535208 18804813 21424867 25073084 26180746 33070416 37609626 39271119 42849734 50146168 52361492 64274601 75219252 78542238 85699468 100292336 104722984 128549202 150438504 157084476 171398936 209445968 257098404 300877008 314168952 342797872 407072473 514196808 628337904 814144946 1028393616 1221217419 1628289892 2206761301 2442434838 3256579784 4413522602 4884869676 6513159568 6620283903 8827045204 9769739352 13240567806 17654090408 19539478704 26481135612 35308180816 41928464719 52962271224 83856929438 105924542448 125785394157 167713858876 251570788314 335427717752 503141576628 670855435504 1006283153256 2012566306512