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55666066501656 = 23331368332901229
BaseRepresentation
bin11001010100000110001000…
…00111101011000000011000
321022002121211212220110121000
430222003010013223000120
524244013101011023111
6314220345442345000
714503512010140612
oct1452030407530030
9238077755813530
1055666066501656
1116811934368736
1262b055905b160
13250a397982a70
14da6375687db2
15668007323c56
hex32a0c41eb018

55666066501656 has 128 divisors (see below), whose sum is σ = 166546848888000. Its totient is φ = 17125507897344.

The previous prime is 55666066501613. The next prime is 55666066501697. The reversal of 55666066501656 is 65610566066655.

It is a junction number, because it is equal to n+sod(n) for n = 55666066501593 and 55666066501602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17736450 + ... + 20637678.

Almost surely, 255666066501656 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 55666066501656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83273424444000).

55666066501656 is an abundant number, since it is smaller than the sum of its proper divisors (110880782386344).

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

55666066501656 is a wasteful number, since it uses less digits than its factorization.

55666066501656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908090 (or 2908080 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 63.

The spelling of 55666066501656 in words is "fifty-five trillion, six hundred sixty-six billion, sixty-six million, five hundred one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 6833 13666 20499 27332 40998 54664 61497 81996 88829 122994 163992 177658 184491 245988 266487 355316 368982 491976 532974 710632 737964 799461 1065948 1475928 1598922 2131896 2398383 2901229 3197844 4796766 5802458 6395688 8703687 9593532 11604916 17407374 19187064 23209832 26111061 34814748 37715977 52222122 69629496 75431954 78333183 104444244 113147931 150863908 156666366 208888488 226295862 301727816 313332732 339443793 452591724 626665464 678887586 905183448 1018331379 1357775172 2036662758 2715550344 4073325516 8146651032 19824097757 39648195514 59472293271 79296391028 118944586542 158592782056 178416879813 237889173084 257713270841 356833759626 475778346168 515426541682 535250639439 713667519252 773139812523 1030853083364 1070501278878 1427335038504 1546279625046 2061706166728 2141002557756 2319419437569 3092559250092 4282005115512 4638838875138 6185118500184 6958258312707 9277677750276 13916516625414 18555355500552 27833033250828 55666066501656