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55257652000 = 255316384751
BaseRepresentation
bin110011011101100111…
…001101101100100000
312021122000000120021201
4303131213031230200
51401131424331000
641215055130544
73664223202145
oct633547155440
9167560016251
1055257652000
112148655a8a1
12a861813a54
1352980bcc05
142962b003cc
15168624296a
hexcdd9cdb20

55257652000 has 96 divisors (see below), whose sum is σ = 136602595584. Its totient is φ = 21967200000.

The previous prime is 55257651997. The next prime is 55257652039. The reversal of 55257652000 is 25675255.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609625 + ... + 694375.

It is an arithmetic number, because the mean of its divisors is an integer number (1422943704).

Almost surely, 255257652000 is an apocalyptic number.

55257652000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55257652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68301297792).

55257652000 is an abundant number, since it is smaller than the sum of its proper divisors (81344943584).

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

55257652000 is a wasteful number, since it uses less digits than its factorization.

55257652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84939 (or 84921 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The spelling of 55257652000 in words is "fifty-five billion, two hundred fifty-seven million, six hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 250 326 400 500 652 800 815 1000 1304 1630 2000 2608 3260 4000 4075 5216 6520 8150 13040 16300 20375 26080 32600 40750 65200 81500 84751 130400 163000 169502 326000 339004 423755 652000 678008 847510 1356016 1695020 2118775 2712032 3390040 4237550 6780080 8475100 10593875 13560160 13814413 16950200 21187750 27628826 33900400 42375500 55257652 67800800 69072065 84751000 110515304 138144130 169502000 221030608 276288260 339004000 345360325 442061216 552576520 690720650 1105153040 1381441300 1726801625 2210306080 2762882600 3453603250 5525765200 6907206500 11051530400 13814413000 27628826000 55257652000