Search a number
-
+
58973391360 = 2934513131167
BaseRepresentation
bin110110111011000101…
…101000101000000000
312122012221211200110000
4312323011220220000
51431234142010420
643031512240000
74155262361412
oct667305505000
9178187750400
1058973391360
1123012a3a874
12b51a0a0000
13573ab64860
142bd63ba9b2
151802567690
hexdbb168a00

58973391360 has 800 divisors, whose sum is σ = 230580991872. Its totient is φ = 14319452160.

The previous prime is 58973391311. The next prime is 58973391397. The reversal of 58973391360 is 6319337985.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 58973391297 and 58973391306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353133997 + ... + 353134163.

Almost surely, 258973391360 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 58973391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115290495936).

58973391360 is an abundant number, since it is smaller than the sum of its proper divisors (171607600512).

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

58973391360 is a wasteful number, since it uses less digits than its factorization.

58973391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 58973391360 in words is "fifty-eight billion, nine hundred seventy-three million, three hundred ninety-one thousand, three hundred sixty".