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3522160454112 = 253273271361751
BaseRepresentation
bin110011010000010001000…
…111110110100111100000
3110110201022102021200211100
4303100101013312213200
5430201341034012422
611254020322114400
7512316263612406
oct63202107664740
913421272250740
103522160454112
111138815832363
1248a7504aba00
131c71a4b1c001
14c268b307476
1561945aec7ac
hex334111f69e0

3522160454112 has 144 divisors (see below), whose sum is σ = 10157258206368. Its totient is φ = 1157524992000.

The previous prime is 3522160454027. The next prime is 3522160454147. The reversal of 3522160454112 is 2114540612253.

3522160454112 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 1 + 604 + 5 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×35221604541122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 57007237 + ... + 57068987.

It is an arithmetic number, because the mean of its divisors is an integer number (70536515322).

Almost surely, 23522160454112 is an apocalyptic number.

3522160454112 is a gapful number since it is divisible by the number (32) 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 3522160454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078629103184).

3522160454112 is an abundant number, since it is smaller than the sum of its proper divisors (6635097752256).

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

3522160454112 is a wasteful number, since it uses less digits than its factorization.

3522160454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64553 (or 64542 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3522160454112 in words is "three trillion, five hundred twenty-two billion, one hundred sixty million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 2713 3504 5256 5426 7008 8139 10512 10852 16278 21024 21704 24417 32556 43408 48834 61751 65112 86816 97668 123502 130224 185253 195336 198049 247004 260448 370506 390672 396098 494008 555759 594147 741012 781344 792196 988016 1111518 1188294 1482024 1584392 1782441 1976032 2223036 2376588 2964048 3168784 3564882 4446072 4507823 4753176 5928096 6337568 7129764 8892144 9015646 9506352 13523469 14259528 17784288 18031292 19012704 27046938 28519056 36062584 40570407 54093876 57038112 72125168 81140814 108187752 144250336 162281628 167530463 216375504 324563256 335060926 432751008 502591389 649126512 670121852 1005182778 1298253024 1340243704 1507774167 2010365556 2680487408 3015548334 4020731112 5360974816 6031096668 8041462224 12062193336 12229723799 16082924448 24124386672 24459447598 36689171397 48248773344 48918895196 73378342794 97837790392 110067514191 146756685588 195675580784 220135028382 293513371176 391351161568 440270056764 587026742352 880540113528 1174053484704 1761080227056 3522160454112