Search a number
-
+
2012942676992 = 21013292179801
BaseRepresentation
bin11101010010101100101…
…110111011010000000000
321010102202102202222001012
4131102230232323100000
5230440001311130432
64140422203300052
7265300411305152
oct35225456732000
97112672688035
102012942676992
11706758733655
1228615651a628
13117a86ab5720
146d5d9776ad2
15375643a9cb2
hex1d4acbbb400

2012942676992 has 132 divisors (see below), whose sum is σ = 4488058938636. Its totient is φ = 897009254400.

The previous prime is 2012942676959. The next prime is 2012942677007. The reversal of 2012942676992 is 2996762492102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 87464513536 + 1925478163456 = 295744^2 + 1387616^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11105492 + ... + 11285292.

Almost surely, 22012942676992 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 2012942676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244029469318).

2012942676992 is an abundant number, since it is smaller than the sum of its proper divisors (2475116261644).

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

2012942676992 is a wasteful number, since it uses less digits than its factorization.

2012942676992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179892 (or 179845 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 2012942676992 in words is "two trillion, twelve billion, nine hundred forty-two million, six hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 512 754 832 841 928 1024 1508 1664 1682 1856 3016 3328 3364 3712 6032 6656 6728 7424 10933 12064 13312 13456 14848 21866 24128 26912 29696 43732 48256 53824 87464 96512 107648 174928 179801 193024 215296 349856 359602 386048 430592 699712 719204 861184 1399424 1438408 2337413 2798848 2876816 4674826 5214229 5597696 5753632 9349652 10428458 11195392 11507264 18699304 20856916 23014528 37398608 41713832 46029056 67784977 74797216 83427664 92058112 135569954 149594432 151212641 166855328 184116224 271139908 299188864 302425282 333710656 542279816 598377728 604850564 667421312 1084559632 1196755456 1209701128 1334842624 1965764333 2169119264 2393510912 2419402256 2669685248 3931528666 4338238528 4838804512 5339370496 7863057332 8676477056 9677609024 15726114664 17352954112 19355218048 31452229328 34705908224 38710436096 62904458656 69411816448 77420872192 125808917312 154841744384 251617834624 503235669248 1006471338496 2012942676992