Search a number
-
+
58342724680 = 23519233329471
BaseRepresentation
bin110110010101011111…
…110101010001001000
312120121000010111101211
4312111133311101020
51423441214142210
642445143022504
74133533656142
oct662537652110
9176530114354
1058342724680
1122819a46639
12b382a3aa34
13566a2bc6c6
142b7672dc92
1517b6edd38a
hexd957f5448

58342724680 has 64 divisors (see below), whose sum is σ = 138773606400. Its totient is φ = 22013867520.

The previous prime is 58342724651. The next prime is 58342724717. The reversal of 58342724680 is 8642724385.

It is a super-2 number, since 2×583427246802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12345 + ... + 341815.

It is an arithmetic number, because the mean of its divisors is an integer number (2168337600).

Almost surely, 258342724680 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 58342724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69386803200).

58342724680 is an abundant number, since it is smaller than the sum of its proper divisors (80430881720).

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

58342724680 is a wasteful number, since it uses less digits than its factorization.

58342724680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329734 (or 329730 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 58342724680 in words is "fifty-eight billion, three hundred forty-two million, seven hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 233 380 466 760 932 1165 1864 2330 4427 4660 8854 9320 17708 22135 35416 44270 88540 177080 329471 658942 1317884 1647355 2635768 3294710 6259949 6589420 12519898 13178840 25039796 31299745 50079592 62599490 76766743 125198980 153533486 250397960 307066972 383833715 614133944 767667430 1458568117 1535334860 2917136234 3070669720 5834272468 7292840585 11668544936 14585681170 29171362340 58342724680