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12042700777848 = 2331383522788969
BaseRepresentation
bin1010111100111110100011…
…1001101110100101111000
31120122021022112010101000010
42233033220321232211320
53034301422344342343
641340201303541520
72352025231436136
oct257175071564570
946567275111003
1012042700777848
11392330a700254
121425b5815a8a0
1369481116b940
142d8c26b42756
1515d3d1a92d33
hexaf3e8e6e978

12042700777848 has 128 divisors (see below), whose sum is σ = 32819936889600. Its totient is φ = 3660060957696.

The previous prime is 12042700777843. The next prime is 12042700777949. The reversal of 12042700777848 is 84877700724021.

It is a happy number.

It is a super-2 number, since 2×120427007778482 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042700777843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135313908 + ... + 135402876.

It is an arithmetic number, because the mean of its divisors is an integer number (256405756950).

Almost surely, 212042700777848 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 12042700777848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409968444800).

12042700777848 is an abundant number, since it is smaller than the sum of its proper divisors (20777236111752).

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

12042700777848 is a wasteful number, since it uses less digits than its factorization.

12042700777848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94301 (or 94297 counting only the distinct ones).

The product of its (nonzero) digits is 9834496, while the sum is 57.

The spelling of 12042700777848 in words is "twelve trillion, forty-two billion, seven hundred million, seven hundred seventy-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1992 2158 3237 4316 5227 6474 8632 10454 12948 15681 20908 25896 31362 41816 62724 67951 88969 125448 135902 177938 203853 266907 271804 355876 407706 433841 533814 543608 711752 815412 867682 1067628 1156597 1301523 1630824 1735364 2135256 2313194 2603046 3469791 3470728 4626388 5206092 5639933 6939582 7384427 9252776 10412184 11279866 13879164 14768854 16919799 22153281 22559732 27758328 29537708 33839598 44306562 45119464 59075416 67679196 88613124 95997551 135358392 177226248 191995102 287992653 383990204 465040963 575985306 767980408 930081926 1151970612 1395122889 1860163852 2303941224 2790245778 3720327704 5580491556 6045532519 11160983112 12091065038 18136597557 24182130076 36273195114 38598399929 48364260152 72546390228 77196799858 115795199787 145092780456 154393599716 231590399574 308787199432 463180799148 501779199077 926361598296 1003558398154 1505337597231 2007116796308 3010675194462 4014233592616 6021350388924 12042700777848