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57868699809024 = 283513316179479
BaseRepresentation
bin11010010100001100110110…
…10010111011010100000000
321120220012020012001212200000
431022012123102323110000
530041110044122342044
6323024302542400000
715121606220265636
oct1512063322732400
9246805205055600
1057868699809024
1117490a834544a5
1265a7412590000
132639cc1c6b730
141040c07c4b356
156a546ea34d69
hex34a19b4bb500

57868699809024 has 1728 divisors, whose sum is σ = 198391568793600. Its totient is φ = 16699414118400.

The previous prime is 57868699809007. The next prime is 57868699809059. The reversal of 57868699809024 is 42090899686875.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120811481617 + ... + 120811482095.

Almost surely, 257868699809024 is an apocalyptic number.

57868699809024 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 57868699809024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99195784396800).

57868699809024 is an abundant number, since it is smaller than the sum of its proper divisors (140522868984576).

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

57868699809024 is a wasteful number, since it uses less digits than its factorization.

57868699809024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 57868699809024 in words is "fifty-seven trillion, eight hundred sixty-eight billion, six hundred ninety-nine million, eight hundred nine thousand, twenty-four".