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54874441423188 = 22327922943840989
BaseRepresentation
bin11000111101000011100111…
…00101101001100101010100
321012021221112011122211011100
430132201303211221211110
524143030324001020223
6312412545333510100
714362355546040462
oct1436416345514524
9235257464584140
1054874441423188
11165371356784a2
1261a304b4a2330
132480839b19c7a
14d79d19703832
156526243da043
hex31e873969954

54874441423188 has 72 divisors (see below), whose sum is σ = 140472510796800. Its totient is φ = 18059134107456.

The previous prime is 54874441423163. The next prime is 54874441423199. The reversal of 54874441423188 is 88132414447845.

54874441423188 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 4 + 441 + 4 + 2 + 3 + 188 = 666.

54874441423188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×548744414231882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 64829398 + ... + 65670386.

It is an arithmetic number, because the mean of its divisors is an integer number (1951007094400).

Almost surely, 254874441423188 is an apocalyptic number.

It is an amenable number.

54874441423188 is an abundant number, since it is smaller than the sum of its proper divisors (85598069373612).

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

54874441423188 is a wasteful number, since it uses less digits than its factorization.

54874441423188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864021 (or 864016 counting only the distinct ones).

The product of its digits is 110100480, while the sum is 63.

The spelling of 54874441423188 in words is "fifty-four trillion, eight hundred seventy-four billion, four hundred forty-one million, four hundred twenty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 22943 45886 68829 91772 137658 206487 275316 412974 825948 840989 1681978 1812497 2522967 3363956 3624994 5045934 5437491 7249988 7568901 10091868 10874982 15137802 16312473 21749964 30275604 32624946 65249892 66438131 132876262 199314393 265752524 398628786 597943179 797257572 1195886358 2391772716 19294810627 38589621254 57884431881 77179242508 115768863762 173653295643 231537727524 347306591286 694613182572 1524290039533 3048580079066 4572870118599 6097160158132 9145740237198 13718610355797 18291480474396 27437220711594 54874441423188