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58894999680000 = 2103541123263461
BaseRepresentation
bin11010110010000100011111…
…00010001111010000000000
321201112022021210100011201110
431121002033202033100000
530204413424404230000
6325131553410403320
715256010665251441
oct1531021742172000
9251468253304643
1058894999680000
1117847257a25750
1267322b4290540
1326b2a0bb61ab3
1410787671272c8
156c1eda135850
hex35908f88f400

58894999680000 has 1760 divisors, whose sum is σ = 224629741873152. Its totient is φ = 13575372800000.

The previous prime is 58894999679993. The next prime is 58894999680001. The reversal of 58894999680000 is 8699949885.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 58894999679895 and 58894999679904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58894999680001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127754879770 + ... + 127754880230.

Almost surely, 258894999680000 is an apocalyptic number.

58894999680000 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 58894999680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112314870936576).

58894999680000 is an abundant number, since it is smaller than the sum of its proper divisors (165734742193152).

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

58894999680000 is a wasteful number, since it uses less digits than its factorization.

58894999680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 75.

The spelling of 58894999680000 in words is "fifty-eight trillion, eight hundred ninety-four billion, nine hundred ninety-nine million, six hundred eighty thousand".