Search a number
-
+
58212295680 = 2103571183593
BaseRepresentation
bin110110001101101110…
…010010010000000000
312120020220201000110010
4312031232102100000
51423204321430210
642424203304520
74130361230520
oct661556222000
9176226630403
1058212295680
1122762361380
12b34721b140
135649283896
142b6329b680
1517aa827920
hexd8db92400

58212295680 has 704 divisors, whose sum is σ = 235323906048. Its totient is φ = 11930173440.

The previous prime is 58212295651. The next prime is 58212295697. The reversal of 58212295680 is 8659221285.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98165464 + ... + 98166056.

It is an arithmetic number, because the mean of its divisors is an integer number (334266912).

Almost surely, 258212295680 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 58212295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117661953024).

58212295680 is an abundant number, since it is smaller than the sum of its proper divisors (177111610368).

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

58212295680 is a wasteful number, since it uses less digits than its factorization.

58212295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 58212295680 in words is "fifty-eight billion, two hundred twelve million, two hundred ninety-five thousand, six hundred eighty".