Search a number
-
+
57131841888 = 25331147791619
BaseRepresentation
bin110101001101010100…
…101011100101100000
312110110121122021111000
4311031110223211200
51414001222420023
642125045352000
74061531433462
oct651524534540
9173417567430
1057131841888
1122258487460
12b0a5408600
135506487904
142a9d9aa132
151745a53243
hexd4d52b960

57131841888 has 384 divisors, whose sum is σ = 188116992000. Its totient is φ = 16719505920.

The previous prime is 57131841863. The next prime is 57131841889. The reversal of 57131841888 is 88814813175.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57131841889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35287543 + ... + 35289161.

It is an arithmetic number, because the mean of its divisors is an integer number (489888000).

Almost surely, 257131841888 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 57131841888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058496000).

57131841888 is an abundant number, since it is smaller than the sum of its proper divisors (130985150112).

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

57131841888 is a wasteful number, since it uses less digits than its factorization.

57131841888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1761 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The spelling of 57131841888 in words is "fifty-seven billion, one hundred thirty-one million, eight hundred forty-one thousand, eight hundred eighty-eight".