Search a number
-
+
58694107248 = 2435717126859
BaseRepresentation
bin110110101010011100…
…010000000001110000
312121111111022120200000
4312222130100001300
51430201142412443
642544054230000
74145331452130
oct665234200160
9177444276600
1058694107248
112298a325557
12b460655300
1356c503ac9a
142bab27aac0
1517d7c9b8d3
hexdaa710070

58694107248 has 240 divisors, whose sum is σ = 206134306560. Its totient is φ = 15783164928.

The previous prime is 58694107211. The next prime is 58694107249. The reversal of 58694107248 is 84270149685.

It is a happy number.

58694107248 is a `hidden beast` number, since 586 + 9 + 4 + 10 + 7 + 2 + 48 = 666.

It is a super-2 number, since 2×586941072482 (a number of 22 digits) contains 22 as substring.

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 = 58694107194 and 58694107203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58694107249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399243 + ... + 526101.

It is an arithmetic number, because the mean of its divisors is an integer number (858892944).

Almost surely, 258694107248 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 58694107248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103067153280).

58694107248 is an abundant number, since it is smaller than the sum of its proper divisors (147440199312).

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

58694107248 is a wasteful number, since it uses less digits than its factorization.

58694107248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126906 (or 126888 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 58694107248 in words is "fifty-eight billion, six hundred ninety-four million, one hundred seven thousand, two hundred forty-eight".