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54430145055 = 325111361713709
BaseRepresentation
bin110010101100010010…
…100001101000011111
312012111022220212011100
4302230102201220133
51342433104120210
641001014524143
73634554412356
oct625422415037
9165438825140
1054430145055
11210a1441660
12a670666653
135195828a30
1428c4c5499d
1516387855c0
hexcac4a1a1f

54430145055 has 96 divisors (see below), whose sum is σ = 111027309120. Its totient is φ = 24319088640.

The previous prime is 54430145047. The next prime is 54430145093. The reversal of 54430145055 is 55054103445.

54430145055 is a `hidden beast` number, since 544 + 3 + 0 + 14 + 50 + 55 = 666.

It is not a de Polignac number, because 54430145055 - 23 = 54430145047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3963541 + ... + 3977249.

It is an arithmetic number, because the mean of its divisors is an integer number (1156534470).

Almost surely, 254430145055 is an apocalyptic number.

54430145055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54430145055 is an abundant number, since it is smaller than the sum of its proper divisors (56597164065).

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

54430145055 is a wasteful number, since it uses less digits than its factorization.

54430145055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14361 (or 14358 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 54430145055 in words is "fifty-four billion, four hundred thirty million, one hundred forty-five thousand, fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 617 715 1287 1851 2145 3085 5553 6435 6787 8021 9255 13709 20361 24063 27765 33935 40105 41127 61083 68545 72189 88231 101805 120315 123381 150799 178217 205635 264693 305415 360945 441155 452397 534651 616905 753995 794079 891085 1323465 1357191 1603953 1960387 2261985 2673255 3970395 5881161 6785955 8019765 8458453 9801935 17643483 25375359 29405805 42292265 76126077 88217415 93042983 109959889 126876795 279128949 329879667 380630385 465214915 549799445 837386847 989639001 1209558779 1395644745 1649398335 3628676337 4186934235 4948195005 6047793895 10886029011 18143381685 54430145055