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57834230850000 = 2438551123147
BaseRepresentation
bin11010010011001100101001…
…10010010010000111010000
321120202220020222122100000000
431021212110302102013100
530040024001044200000
6323000402345130000
715116246104052013
oct1511462462220720
9246686228570000
1057834230850000
11174783a5641400
1265a07b2a89900
13263698aa7a8a7
14103d29809737a
156a4603900000
hex349994c921d0

57834230850000 has 3240 divisors, whose sum is σ = 243431077413888. Its totient is φ = 13279464000000.

The previous prime is 57834230849957. The next prime is 57834230850007. The reversal of 57834230850000 is 5803243875.

57834230850000 is a `hidden beast` number, since 5 + 78 + 3 + 42 + 30 + 8 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×578342308500002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57834230850007) 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 647 ways as a sum of consecutive naturals, for example, 1230515549977 + ... + 1230515550023.

Almost surely, 257834230850000 is an apocalyptic number.

57834230850000 is a gapful number since it is divisible by the number (50) 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 57834230850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121715538706944).

57834230850000 is an abundant number, since it is smaller than the sum of its proper divisors (185596846563888).

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

57834230850000 is an frugal number, since it uses more digits than its factorization.

57834230850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 57834230850000 in words is "fifty-seven trillion, eight hundred thirty-four billion, two hundred thirty million, eight hundred fifty thousand".