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54071142454777 = 71929317120893049
BaseRepresentation
bin11000100101101011010110…
…01111010001010111111001
321002110011001212221010021111
430102311223033101113321
524041400144432023102
6310555535005040321
714250340213340650
oct1422655317212771
9232404055833244
1054071142454777
1116257496313a28
1260934242560a1
132422b6b55c9a6
14d4d0b3190197
1563b7ab69acd7
hex312d6b3d15f9

54071142454777 has 128 divisors (see below), whose sum is σ = 70496870400000. Its totient is φ = 40415368089600.

The previous prime is 54071142454753. The next prime is 54071142454817. The reversal of 54071142454777 is 77745424117045.

It is not a de Polignac number, because 54071142454777 - 235 = 54036782716409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54071142404777) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17734056349 + ... + 17734059397.

It is an arithmetic number, because the mean of its divisors is an integer number (550756800000).

Almost surely, 254071142454777 is an apocalyptic number.

It is an amenable number.

54071142454777 is a deficient number, since it is larger than the sum of its proper divisors (16425727945223).

54071142454777 is a wasteful number, since it uses less digits than its factorization.

54071142454777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295.

The product of its (nonzero) digits is 30732800, while the sum is 58.

The spelling of 54071142454777 in words is "fifty-four trillion, seventy-one billion, one hundred forty-two million, four hundred fifty-four thousand, seven hundred seventy-seven".

Divisors: 1 7 19 29 31 71 133 203 217 497 551 589 899 1349 2059 2089 2201 3049 3857 4123 6293 9443 14413 14623 15407 17081 21343 39121 39691 41819 57931 60581 63829 64759 88421 94519 119567 148319 216479 273847 277837 292733 405517 424067 446803 453313 618947 661633 1038233 1151039 1212751 1230421 1515353 1679999 1795861 1878011 2741051 2818061 4113101 4301251 4597889 6277891 6369361 6710849 8057273 8489257 8612947 11759993 12571027 13146077 19187357 19726427 28791707 30108757 32185223 35682209 43945237 44585527 46975943 52079969 81723769 87359891 119279929 121017859 127506131 133338781 184711469 194614621 197450191 249775463 364559783 452224631 572066383 611519237 834959503 847125013 892542917 933371467 1292980283 1362302347 1382151337 2533436839 3165572417 3509517911 3697677799 3751553629 5726055539 8592267989 13114514299 14018963561 17734057873 24566625377 25883744593 26260875403 40082388773 60145875923 91801600093 98132744927 108795055241 249175771681 266360307659 406549943269 761565386687 1744230401767 1864522153613 2845849602883 7724448922111 54071142454777