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54521341400560 = 24519301930413907
BaseRepresentation
bin11000110010110001111010…
…01011111101010111110000
321011001012010000200011012111
430121120331023331113300
524121234201344304220
6311542431454535104
714325015444261406
oct1431307513752760
9234035100604174
1054521341400560
1116410409941281
126146726b07494
132456456c16238
14d66bc026d476
1564835a13615a
hex31963d2fd5f0

54521341400560 has 160 divisors (see below), whose sum is σ = 133556075078400. Its totient is φ = 20641798840320.

The previous prime is 54521341400479. The next prime is 54521341400621. The reversal of 54521341400560 is 6500414312545.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13954782127 + ... + 13954786033.

It is an arithmetic number, because the mean of its divisors is an integer number (834725469240).

Almost surely, 254521341400560 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 54521341400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66778037539200).

54521341400560 is an abundant number, since it is smaller than the sum of its proper divisors (79034733677840).

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

54521341400560 is a wasteful number, since it uses less digits than its factorization.

54521341400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9999 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 54521341400560 in words is "fifty-four trillion, five hundred twenty-one billion, three hundred forty-one million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3019 3041 3907 6038 6082 7814 12076 12164 15095 15205 15628 19535 24152 24328 30190 30410 31256 39070 48304 48656 57361 57779 60380 60820 62512 74233 78140 114722 115558 120760 121640 148466 156280 229444 231116 241520 243280 286805 288895 296932 312560 371165 458888 462232 573610 577790 593864 742330 917776 924464 1147220 1155580 1187728 1484660 2294440 2311160 2969320 4588880 4622320 5938640 9180779 11795233 11881187 18361558 23590466 23762374 36723116 45903895 47180932 47524748 58976165 59405935 73446232 91807790 94361864 95049496 117952330 118811870 146892464 174434801 183615580 188723728 190098992 224109427 225742553 235904660 237623740 348869602 367231160 448218854 451485106 471809320 475247480 697739204 734462320 872174005 896437708 902970212 943618640 950494960 1120547135 1128712765 1395478408 1744348010 1792875416 1805940424 2241094270 2257425530 2790956816 3488696020 3585750832 3611880848 4482188540 4514851060 6977392040 8964377080 9029702120 13954784080 17928754160 18059404240 35869303553 71738607106 143477214212 179346517765 286954428424 358693035530 573908856848 681516767507 717386071060 1363033535014 1434772142120 2726067070028 2869544284240 3407583837535 5452134140056 6815167675070 10904268280112 13630335350140 27260670700280 54521341400560