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54501606235336 = 231310919346154037
BaseRepresentation
bin11000110010001101001001…
…11000010001110011001000
321010222022011122110212222011
430121012210320101303020
524120423242144012321
6311525405305505304
714323416416163511
oct1431064470216310
9233868148425864
1054501606235336
1116403001958577
1261429397a2234
132454630376390
14d65c6b205a08
15647aa277eae1
hex3191a4e11cc8

54501606235336 has 128 divisors (see below), whose sum is σ = 111880642658400. Its totient is φ = 24740430151680.

The previous prime is 54501606235313. The next prime is 54501606235339. The reversal of 54501606235336 is 63353260610545.

It can be written as a sum of positive squares in 16 ways, for example, as 6482166920100 + 48019439315236 = 2546010^2 + 6929606^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54501606235336.

It is not an unprimeable number, because it can be changed into a prime (54501606235339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008570910 + ... + 1008624946.

Almost surely, 254501606235336 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 54501606235336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55940321329200).

54501606235336 is an abundant number, since it is smaller than the sum of its proper divisors (57379036423064).

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

54501606235336 is a wasteful number, since it uses less digits than its factorization.

54501606235336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54819 (or 54815 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 49.

The spelling of 54501606235336 in words is "fifty-four trillion, five hundred one billion, six hundred six million, two hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 109 193 218 386 436 461 772 872 922 1417 1544 1844 2509 2834 3688 5018 5668 5993 10036 11336 11986 20072 21037 23972 42074 47944 50249 54037 84148 88973 100498 108074 168296 177946 200996 216148 273481 355892 401992 432296 546962 653237 702481 711784 1093924 1156649 1306474 1404962 2187848 2313298 2612948 2809924 4626596 5225896 5619848 5890033 9253192 9698057 10429141 11780066 19396114 20858282 23560132 24911057 38792228 41716564 47120264 49822114 76570429 77584456 83433128 99644228 126074741 135578833 153140858 199288456 252149482 271157666 306281716 323843741 504298964 542315332 612563432 647687482 1008597928 1084630664 1136776369 1295374964 2273552738 2590749928 2715305213 4547105476 4807834001 5430610426 9094210952 9615668002 10861220852 14778092797 19231336004 21722441704 29556185594 35298967769 38462672008 59112371188 62501842013 70597935538 118224742376 125003684026 141195871076 250007368052 282391742152 500014736104 524053906109 1048107812218 2096215624436 4192431248872 6812700779417 13625401558834 27250803117668 54501606235336