Search a number
-
+
58239929107360 = 255711213311139437
BaseRepresentation
bin11010011111000000010100…
…10010010100001110100000
321122012200102210111011120201
431033200022102110032200
530113200333322413420
6323511015402514544
715160460510253160
oct1517401222241640
9248180383434521
1058239929107360
111761446273a900
126647356505a54
132666003ac6940
141054b82d605a0
156aee4a6cb10a
hex34f80a4943a0

58239929107360 has 1152 divisors, whose sum is σ = 193863596838912. Its totient is φ = 16070610124800.

The previous prime is 58239929107337. The next prime is 58239929107387. The reversal of 58239929107360 is 6370192993285.

It is a junction number, because it is equal to n+sod(n) for n = 58239929107292 and 58239929107301.

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, 6171440562 + ... + 6171449998.

It is an arithmetic number, because the mean of its divisors is an integer number (168284372256).

Almost surely, 258239929107360 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 58239929107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96931798419456).

58239929107360 is an abundant number, since it is smaller than the sum of its proper divisors (135623667731552).

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

58239929107360 is a wasteful number, since it uses less digits than its factorization.

58239929107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

The spelling of 58239929107360 in words is "fifty-eight trillion, two hundred thirty-nine billion, nine hundred twenty-nine million, one hundred seven thousand, three hundred sixty".