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545331441105 = 3251117193410773
BaseRepresentation
bin1111110111110000100…
…10010110110111010001
31221010121002022112000200
413323320102112313101
532413314322103410
61054304413205413
754253551524253
oct7737022266721
91833532275020
10545331441105
111a0301422110
1289832490869
133c5699178c9
141c5738cbcd3
15e2ba6e13c0
hex7ef8496dd1

545331441105 has 96 divisors (see below), whose sum is σ = 1149294407040. Its totient is φ = 235752560640.

The previous prime is 545331441059. The next prime is 545331441119. The reversal of 545331441105 is 501144133545.

545331441105 is a `hidden beast` number, since 5 + 4 + 533 + 1 + 4 + 4 + 110 + 5 = 666.

It is not a de Polignac number, because 545331441105 - 26 = 545331441041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 545331441105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1545502 + ... + 1865271.

It is an arithmetic number, because the mean of its divisors is an integer number (11971816740).

Almost surely, 2545331441105 is an apocalyptic number.

545331441105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545331441105 is an abundant number, since it is smaller than the sum of its proper divisors (603962965935).

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

545331441105 is a wasteful number, since it uses less digits than its factorization.

545331441105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410831 (or 3410828 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 545331441105 in words is "five hundred forty-five billion, three hundred thirty-one million, four hundred forty-one thousand, one hundred five".

Divisors: 1 3 5 9 11 15 17 19 33 45 51 55 57 85 95 99 153 165 171 187 209 255 285 323 495 561 627 765 855 935 969 1045 1615 1683 1881 2805 2907 3135 3553 4845 8415 9405 10659 14535 17765 31977 53295 159885 3410773 10232319 17053865 30696957 37518503 51161595 57983141 64804687 112555509 153484785 173949423 187592515 194414061 289915705 324023435 337666527 521848269 562777545 583242183 637814551 712851557 869747115 972070305 1101679679 1688332635 1913443653 2138554671 2609241345 2916210915 3189072755 3305039037 3564257785 5508398395 5740330959 6415664013 9567218265 9915117111 10692773355 12118476469 16525195185 28701654795 32078320065 36355429407 49575585555 60592382345 109066288221 181777147035 545331441105