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12049150457568 = 2537121949147031
BaseRepresentation
bin1010111101010110100101…
…0101010011011011100000
31120122212222000100001021210
42233111221111103123200
53034403130004120233
641343145302550120
72352344116011120
oct257255125233340
946585860301253
1012049150457568
11392601a349074
121427258138340
136952cb451683
142d9279568c80
1515d65ce04163
hexaf5695536e0

12049150457568 has 96 divisors (see below), whose sum is σ = 36147993638400. Its totient is φ = 3442562772480.

The previous prime is 12049150457489. The next prime is 12049150457579. The reversal of 12049150457568 is 86575405194021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120491504575682 (a number of 27 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 15 ways as a sum of consecutive naturals, for example, 81876213 + ... + 82023243.

It is an arithmetic number, because the mean of its divisors is an integer number (376541600400).

Almost surely, 212049150457568 is an apocalyptic number.

It is an amenable number.

12049150457568 is an abundant number, since it is smaller than the sum of its proper divisors (24098843180832).

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

12049150457568 is a wasteful number, since it uses less digits than its factorization.

12049150457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269000 (or 268992 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 12049150457568 in words is "twelve trillion, forty-nine billion, one hundred fifty million, four hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 121949 147031 243898 294062 365847 441093 487796 588124 731694 853643 882186 975592 1029217 1176248 1463388 1707286 1764372 1951184 2058434 2352496 2560929 2926776 3087651 3414572 3528744 3902368 4116868 4704992 5121858 5853552 6175302 6829144 7057488 8233736 10243716 11707104 12350604 13658288 14114976 16467472 20487432 24701208 27316576 32934944 40974864 49402416 81949728 98804832 17930283419 35860566838 53790850257 71721133676 107581700514 125511983933 143442267352 215163401028 251023967866 286884534704 376535951799 430326802056 502047935732 573769069408 753071903598 860653604112 1004095871464 1506143807196 1721307208224 2008191742928 3012287614392 4016383485856 6024575228784 12049150457568