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5440527946656 = 2532115101336667
BaseRepresentation
bin100111100101011100010…
…1111000101001110100000
3201021002221202011111120100
41033022320233011032200
51203114200123243111
615323202151142400
71101031232345055
oct117127057051640
921232852144510
105440527946656
111808351212050
1273a4b1974a00
13306068c7341a
1414b4742a502c
15967c213a756
hex4f2b8bc53a0

5440527946656 has 144 divisors (see below), whose sum is σ = 16881360376608. Its totient is φ = 1648316736000.

The previous prime is 5440527946627. The next prime is 5440527946663. The reversal of 5440527946656 is 6566497250445.

It is a happy number.

5440527946656 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 52 + 79 + 466 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5440527946593 and 5440527946602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15991635 + ... + 16328301.

It is an arithmetic number, because the mean of its divisors is an integer number (117231669282).

Almost surely, 25440527946656 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 5440527946656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440680188304).

5440527946656 is an abundant number, since it is smaller than the sum of its proper divisors (11440832429952).

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

5440527946656 is a wasteful number, since it uses less digits than its factorization.

5440527946656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341795 (or 341784 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 5440527946656 in words is "five trillion, four hundred forty billion, five hundred twenty-seven million, nine hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 5101 10202 15303 20404 30606 40808 45909 56111 61212 81616 91818 112222 122424 163232 168333 183636 224444 244848 336666 336667 367272 448888 489696 504999 673332 673334 734544 897776 1009998 1010001 1346664 1346668 1469088 1795552 2019996 2020002 2693328 2693336 3030003 3703337 4039992 4040004 5386656 5386672 6060006 7406674 8079984 8080008 10773344 11110011 12120012 14813348 16159968 16160016 22220022 24240024 29626696 32320032 33330033 44440044 48480048 59253392 66660066 88880088 96960096 118506784 133320132 177760176 266640264 355520352 533280528 1066561056 1717338367 3434676734 5152015101 6869353468 10304030202 13738706936 15456045303 18890722037 20608060404 27477413872 30912090606 37781444074 41216120808 54954827744 56672166111 61824181212 75562888148 82432241616 113344332222 123648362424 151125776296 164864483232 170016498333 226688664444 247296724848 302251552592 340032996666 453377328888 494593449696 604503105184 680065993332 906754657776 1360131986664 1813509315552 2720263973328 5440527946656