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57114136800 = 253552719472
BaseRepresentation
bin110101001100010001…
…001001000011100000
312110102101022202200000
4311030101021003200
51413432204334200
642123214100000
74061225103240
oct651421110340
9173371282600
1057114136800
1122249494356
12b09b4aa600
1355028c8c26
142a9b4bbb20
151744207300
hexd4c4490e0

57114136800 has 1296 divisors, whose sum is σ = 256717319040. Its totient is φ = 12104432640.

The previous prime is 57114136789. The next prime is 57114136811. The reversal of 57114136800 is 863141175.

57114136800 is a `hidden beast` number, since 571 + 1 + 4 + 1 + 3 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57114136789) and next prime (57114136811).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×571141368002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1215194377 + ... + 1215194423.

Almost surely, 257114136800 is an apocalyptic number.

57114136800 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 57114136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128358659520).

57114136800 is an abundant number, since it is smaller than the sum of its proper divisors (199603182240).

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

57114136800 is a wasteful number, since it uses less digits than its factorization.

57114136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 57114136800 its reverse (863141175), we get a palindrome (57977277975).

The spelling of 57114136800 in words is "fifty-seven billion, one hundred fourteen million, one hundred thirty-six thousand, eight hundred".