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57109485888 = 263372133307
BaseRepresentation
bin110101001011111111…
…011001100101000000
312110102001120110211000
4311023333121211000
51413430012022023
642122530252000
74061140422600
oct651377314500
9173361513730
1057109485888
11222468a8024
12b099a27000
13550195b000
142a9aa2ac00
151743ad9243
hexd4bfd9940

57109485888 has 672 divisors, whose sum is σ = 212259062400. Its totient is φ = 15012781056.

The previous prime is 57109485887. The next prime is 57109485889. The reversal of 57109485888 is 88858490175.

57109485888 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 9 + 48 + 588 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57109485887) and next prime (57109485889).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×571094858882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57109485883) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 186024231 + ... + 186024537.

It is an arithmetic number, because the mean of its divisors is an integer number (315861700).

Almost surely, 257109485888 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 57109485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106129531200).

57109485888 is an abundant number, since it is smaller than the sum of its proper divisors (155149576512).

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

57109485888 is a wasteful number, since it uses less digits than its factorization.

57109485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 57109485888 in words is "fifty-seven billion, one hundred nine million, four hundred eighty-five thousand, eight hundred eighty-eight".