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54341016110360 = 23573115083415069
BaseRepresentation
bin11000101101100010000001…
…11101100100010100011000
321010101221122211211021200122
430112301000331210110120
524110310400111012420
6311323530154052412
714306003015510360
oct1426610075442430
9233357584737618
1054341016110360
1116350993a21821
1261177a041a108
132442449a8a8a5
14d5c1951999a0
156438040c5725
hex316c40f64518

54341016110360 has 128 divisors (see below), whose sum is σ = 144251501875200. Its totient is φ = 18028960058880.

The previous prime is 54341016110351. The next prime is 54341016110369. The reversal of 54341016110360 is 6301161014345.

It is an interprime number because it is at equal distance from previous prime (54341016110351) and next prime (54341016110369).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 54341016110360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54341016110369) 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, 130712906 + ... + 131127974.

It is an arithmetic number, because the mean of its divisors is an integer number (1126964858400).

Almost surely, 254341016110360 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 54341016110360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72125750937600).

54341016110360 is an abundant number, since it is smaller than the sum of its proper divisors (89910485764840).

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

54341016110360 is a wasteful number, since it uses less digits than its factorization.

54341016110360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430201 (or 430197 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 54341016110360 in words is "fifty-four trillion, three hundred forty-one billion, sixteen million, one hundred ten thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 15083 30166 60332 75415 105581 120664 150830 211162 301660 415069 422324 467573 527905 603320 830138 844648 935146 1055810 1660276 1870292 2075345 2111620 2337865 2905483 3273011 3320552 3740584 4150690 4223240 4675730 5810966 6546022 8301380 9351460 11621932 12867139 13092044 14527415 16365055 16602760 18702920 23243864 25734278 26184088 29054830 32730110 51468556 58109660 64335695 65460220 90069973 102937112 116219320 128671390 130920440 180139946 257342780 360279892 450349865 514685560 720559784 900699730 1801399460 3602798920 6260485727 12520971454 25041942908 31302428635 43823400089 50083885816 62604857270 87646800178 125209714540 175293600356 194075057537 219117000445 250419429080 350587200712 388150115074 438234000890 776300230148 876468001780 970375287685 1358525402759 1552600460296 1752936003560 1940750575370 2717050805518 3881501150740 5434101611036 6792627013795 7763002301480 10868203222072 13585254027590 27170508055180 54341016110360