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54245873088 = 26321119618389
BaseRepresentation
bin110010100001010011…
…100101010111000000
312012000111011212112200
4302201103211113000
51342043420414323
640530433153200
73630156212331
oct624123452700
9165014155480
1054245873088
1121007421380
12a61a9bb800
1351665ba574
1428a85a8288
1516274d6443
hexca14e55c0

54245873088 has 672 divisors, whose sum is σ = 185725612800. Its totient is φ = 14963097600.

The previous prime is 54245873057. The next prime is 54245873089. The reversal of 54245873088 is 88037854245.

54245873088 is a `hidden beast` number, since 5 + 4 + 24 + 587 + 30 + 8 + 8 = 666.

It is a super-2 number, since 2×542458730882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54245873089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 609504148 + ... + 609504236.

It is an arithmetic number, because the mean of its divisors is an integer number (276377400).

Almost surely, 254245873088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54245873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92862806400).

54245873088 is an abundant number, since it is smaller than the sum of its proper divisors (131479739712).

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

54245873088 is a wasteful number, since it uses less digits than its factorization.

54245873088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 54245873088 in words is "fifty-four billion, two hundred forty-five million, eight hundred seventy-three thousand, eighty-eight".