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58374732808080 = 243451317192145379
BaseRepresentation
bin11010100010111011011010…
…01101100111111110010000
321122200120101111102200210000
431101131231031213332100
530122402423044324310
6324052552042010000
715203302203642663
oct1521355515477620
9248616344380700
1058374732808080
1117666648931427
1266694b7aa6900
132675937c6a320
14105b4d03cd6da
156b36da11d4c0
hex35176d367f90

58374732808080 has 800 divisors, whose sum is σ = 243350968291200. Its totient is φ = 12812128763904.

The previous prime is 58374732807929. The next prime is 58374732808151. The reversal of 58374732808080 is 8080823747385.

58374732808080 is a `hidden beast` number, since 5 + 8 + 3 + 7 + 473 + 2 + 8 + 0 + 80 + 80 = 666.

It is a super-2 number, since 2×583747328080802 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58374732807999 and 58374732808017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26136831 + ... + 28282209.

It is an arithmetic number, because the mean of its divisors is an integer number (304188710364).

Almost surely, 258374732808080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58374732808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121675484145600).

58374732808080 is an abundant number, since it is smaller than the sum of its proper divisors (184976235483120).

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

58374732808080 is a wasteful number, since it uses less digits than its factorization.

58374732808080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145453 (or 2145438 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 58374732808080 in words is "fifty-eight trillion, three hundred seventy-four billion, seven hundred thirty-two million, eight hundred eight thousand, eighty".