Search a number
-
+
58354699219740 = 2232571122996719013
BaseRepresentation
bin11010100010010110000110…
…00111100011001100011100
321122121122200022200221222200
431101023003013203030130
530122040411000012430
6324035440112411500
715201662563153620
oct1521130307431434
9248548608627880
1058354699219740
11176590a8450a50
126665646846b90
132673a94632341
14105a54d883180
156b2e1646a460
hex3512c31e331c

58354699219740 has 576 divisors, whose sum is σ = 221891445135360. Its totient is φ = 12059582330880.

The previous prime is 58354699219679. The next prime is 58354699219753. The reversal of 58354699219740 is 4791299645385.

58354699219740 is a `hidden beast` number, since 5 + 8 + 3 + 5 + 469 + 92 + 1 + 9 + 74 + 0 = 666.

It is a congruent number.

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, 3069190474 + ... + 3069209486.

It is an arithmetic number, because the mean of its divisors is an integer number (385228203360).

It is a 1-persistent number, because it is pandigital, but 2⋅58354699219740 = 116709398439480 is not.

Almost surely, 258354699219740 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 58354699219740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110945722567680).

58354699219740 is an abundant number, since it is smaller than the sum of its proper divisors (163536745915620).

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

58354699219740 is a wasteful number, since it uses less digits than its factorization.

58354699219740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20237 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 58354699219740 in words is "fifty-eight trillion, three hundred fifty-four billion, six hundred ninety-nine million, two hundred nineteen thousand, seven hundred forty".