Search a number
-
+
58990425984 = 273471137193
BaseRepresentation
bin110110111100000110…
…100111011110000000
312122021010220010120000
4312330012213132000
51431303022112414
643033321320000
74155560230140
oct667406473600
9178233803500
1058990425984
1123021615176
12b523936000
13574154a309
142bd8772920
151803cceb09
hexdbc1a7780

58990425984 has 320 divisors, whose sum is σ = 202437433440. Its totient is φ = 16702930944.

The previous prime is 58990425979. The next prime is 58990426007. The reversal of 58990425984 is 48952409985.

58990425984 is a `hidden beast` number, since 589 + 9 + 0 + 42 + 5 + 9 + 8 + 4 = 666.

58990425984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8197492 + ... + 8204684.

Almost surely, 258990425984 is an apocalyptic number.

58990425984 is a gapful number since it is divisible by the number (54) 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 58990425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101218716720).

58990425984 is an abundant number, since it is smaller than the sum of its proper divisors (143447007456).

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

58990425984 is a wasteful number, since it uses less digits than its factorization.

58990425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 58990425984 in words is "fifty-eight billion, nine hundred ninety million, four hundred twenty-five thousand, nine hundred eighty-four".