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57839877144 = 23337215136191
BaseRepresentation
bin110101110111100001…
…100111110000011000
312112021221221012021000
4311313201213300120
51421424002032034
642323221145000
74115216562300
oct656741476030
9175257835230
1057839877144
1122591114865
12b26255b160
1355ba07b49a
142b29a36600
151787cb1599
hexd77867c18

57839877144 has 192 divisors, whose sum is σ = 188140492800. Its totient is φ = 16415784000.

The previous prime is 57839877133. The next prime is 57839877149. The reversal of 57839877144 is 44177893875.

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 (57839877149) 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 47 ways as a sum of consecutive naturals, for example, 1580089 + ... + 1616279.

It is an arithmetic number, because the mean of its divisors is an integer number (979898400).

Almost surely, 257839877144 is an apocalyptic number.

57839877144 is a gapful number since it is divisible by the number (54) 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 57839877144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94070246400).

57839877144 is an abundant number, since it is smaller than the sum of its proper divisors (130300615656).

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

57839877144 is a wasteful number, since it uses less digits than its factorization.

57839877144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36371 (or 36354 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 57839877144 in words is "fifty-seven billion, eight hundred thirty-nine million, eight hundred seventy-seven thousand, one hundred forty-four".