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54266222063732 = 22721273118777993
BaseRepresentation
bin11000101011010110101101…
…11000111011000001110100
321010010210121022122001011112
430111223112320323001310
524103044210322014412
6311225320330054152
714300414366554400
oct1425532670730164
9233123538561145
1054266222063732
11163221a2701548
1261051a7b7a358
13243838a374673
14d586db9b4100
156418c7b91722
hex315ad6e3b074

54266222063732 has 144 divisors (see below), whose sum is σ = 111839732379648. Its totient is φ = 22970534791680.

The previous prime is 54266222063707. The next prime is 54266222063741. The reversal of 54266222063732 is 23736022266245.

It is a happy number.

54266222063732 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×542662220637323 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6789214328 + ... + 6789222320.

It is an arithmetic number, because the mean of its divisors is an integer number (776664808192).

Almost surely, 254266222063732 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 54266222063732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55919866189824).

54266222063732 is an abundant number, since it is smaller than the sum of its proper divisors (57573510315916).

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

54266222063732 is a wasteful number, since it uses less digits than its factorization.

54266222063732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 50.

The spelling of 54266222063732 in words is "fifty-four trillion, two hundred sixty-six billion, two hundred twenty-two million, sixty-three thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 127 196 254 311 508 622 877 889 1244 1754 1778 2177 3508 3556 4354 6139 6223 7993 8708 12278 12446 15239 15986 24556 24892 30478 31972 39497 42973 55951 60956 78994 85946 111379 111902 157988 171892 222758 223804 272747 276479 391657 445516 545494 552958 779653 783314 1015111 1090988 1105916 1559306 1566628 1909229 1935353 2030222 2485823 3118612 3818458 3870706 4060444 4971646 5457571 7009861 7105777 7636916 7741412 9943292 10915142 13364603 14019722 14211554 17400761 21830284 26729206 28039444 28423108 34638869 34801522 49069027 49740439 53458412 69277738 69603044 98138054 99480878 121805327 138555476 196276108 198961756 242472083 243610654 315699521 343483189 484944166 487221308 631399042 686966378 890252347 969888332 1262798084 1373932756 1697304581 1780504694 2180066771 2209896647 3394609162 3561009388 4360133542 4419793294 6231766429 6789218324 8720267084 8839586588 12463532858 15260467397 15469276529 24927065716 30520934794 30938553058 43622365003 61041869588 61877106116 87244730006 106823271779 174489460012 213646543558 276868479917 427293087116 553736959834 1107473919668 1938079359419 3876158718838 7752317437676 13566555515933 27133111031866 54266222063732