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57147942852 = 2233721113237157
BaseRepresentation
bin110101001110010010…
…000110011111000100
312110111201221021212000
4311032102012133010
51414014333132402
642130422425300
74062115333200
oct651622063704
9173451837760
1057147942852
1122266584340
12b0aa892230
135509904400
142aa1b9bb00
151747183c1c
hexd4e4867c4

57147942852 has 864 divisors, whose sum is σ = 210429152640. Its totient is φ = 13246571520.

The previous prime is 57147942847. The next prime is 57147942881. The reversal of 57147942852 is 25824974175.

57147942852 is a `hidden beast` number, since 57 + 1 + 479 + 42 + 85 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 363999558 + ... + 363999714.

It is an arithmetic number, because the mean of its divisors is an integer number (243552260).

Almost surely, 257147942852 is an apocalyptic number.

57147942852 is a gapful number since it is divisible by the number (52) 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 57147942852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105214576320).

57147942852 is an abundant number, since it is smaller than the sum of its proper divisors (153281209788).

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

57147942852 is a wasteful number, since it uses less digits than its factorization.

57147942852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

It can be divided in two parts, 57147 and 942852, that added together give a palindrome (999999).

The spelling of 57147942852 in words is "fifty-seven billion, one hundred forty-seven million, nine hundred forty-two thousand, eight hundred fifty-two".