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1070463760212 = 2237211167991027
BaseRepresentation
bin11111001001111001001…
…11001011011101010100
310210100001110102022202210
433210330213023131110
5120014302210311322
62135433025233420
7140224042555200
oct17447447133524
93710043368683
101070463760212
11382a87981970
12153568192870
1379c3781a102
1439b4c89db00
151cca293270c
hexf93c9cb754

1070463760212 has 144 divisors (see below), whose sum is σ = 3188668267008. Its totient is φ = 276377330880.

The previous prime is 1070463760187. The next prime is 1070463760231. The reversal of 1070463760212 is 2120673640701.

It is a super-2 number, since 2×10704637602122 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 584643 + ... + 1575669.

It is an arithmetic number, because the mean of its divisors is an integer number (22143529632).

Almost surely, 21070463760212 is an apocalyptic number.

1070463760212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070463760212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594334133504).

1070463760212 is an abundant number, since it is smaller than the sum of its proper divisors (2118204506796).

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

1070463760212 is a wasteful number, since it uses less digits than its factorization.

1070463760212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991226 (or 991217 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 1070463760212 in words is "one trillion, seventy billion, four hundred sixty-three million, seven hundred sixty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 167 196 231 294 308 334 462 501 539 588 668 924 1002 1078 1169 1617 1837 2004 2156 2338 3234 3507 3674 4676 5511 6468 7014 7348 8183 11022 12859 14028 16366 22044 24549 25718 32732 38577 49098 51436 77154 90013 98196 154308 180026 270039 360052 540078 991027 1080156 1982054 2973081 3964108 5946162 6937189 10901297 11892324 13874378 20811567 21802594 27748756 32703891 41623134 43605188 48560323 65407782 76309079 83246268 97120646 130815564 145680969 152618158 165501509 194241292 228927237 291361938 305236316 331003018 457854474 496504527 534163553 582723876 662006036 915708948 993009054 1068327106 1158510563 1602490659 1820516599 1986018108 2136654212 2317021126 3204981318 3475531689 3641033198 4634042252 5461549797 6409962636 6951063378 7282066396 8109573941 10923099594 12743616193 13902126756 16219147882 21846199188 24328721823 25487232386 32438295764 38230848579 48657443646 50974464772 76461697158 89205313351 97314887292 152923394316 178410626702 267615940053 356821253404 535231880106 1070463760212