Search a number
-
+
54561455416545 = 35711218223235663
BaseRepresentation
bin11000110011111100101000…
…01010110010010011100001
321011012000122122021022020020
430121332110022302103201
524122413330041312140
6312013104145304053
714330635504631340
oct1431762412622341
9234160578238206
1054561455416545
1116426424194200
126152461035029
13245a17a7a8a7c
14d68b07a39b57
15649406b406d0
hex319f942b24e1

54561455416545 has 96 divisors (see below), whose sum is σ = 109670499434496. Its totient is φ = 22673550049920.

The previous prime is 54561455416543. The next prime is 54561455416577.

54561455416545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54561455416545 - 21 = 54561455416543 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54561455416543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231405384 + ... + 231641046.

It is an arithmetic number, because the mean of its divisors is an integer number (1142401035776).

Almost surely, 254561455416545 is an apocalyptic number.

54561455416545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54561455416545 is an abundant number, since it is smaller than the sum of its proper divisors (55109044017951).

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

54561455416545 is a wasteful number, since it uses less digits than its factorization.

54561455416545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253923 (or 253912 counting only the distinct ones).

The product of its digits is 144000000, while the sum is 60.

The spelling of 54561455416545 in words is "fifty-four trillion, five hundred sixty-one billion, four hundred fifty-five million, four hundred sixteen thousand, five hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 18223 54669 91115 127561 200453 235663 273345 382683 601359 637805 706989 1002265 1178315 1403171 1649641 1913415 2204983 2592293 3006795 3534945 4209513 4948923 6614949 7015855 7776879 8248205 11024915 12961465 15434881 18146051 21047565 24744615 28515223 33074745 38884395 46304643 54438153 77174405 85545669 90730255 142576115 199606561 231523215 272190765 427728345 598819683 998032805 2994098415 4294486849 12883460547 21472434245 30061407943 47239355339 64417302735 90184223829 141718066017 150307039715 236196776695 330675487373 450921119145 519632908729 708590330085 992026462119 1558898726187 1653377436865 2598164543645 3637430361103 4960132310595 7794493630935 10912291083309 18187151805515 54561455416545