Search a number
-
+
58490513672 = 23194383137787
BaseRepresentation
bin110110011110010011…
…100110100100001000
312120222022012221210012
4312132103212210020
51424242032414142
642511542411052
74140310106633
oct663623464410
9176868187705
1058490513672
11228954086a8
12b404430a88
135691ac6106
142b8c200c1a
1517c4e82882
hexd9e4e6908

58490513672 has 128 divisors (see below), whose sum is σ = 120575347200. Its totient is φ = 26506787328.

The previous prime is 58490513663. The next prime is 58490513681. The reversal of 58490513672 is 27631509485.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58490513663) and next prime (58490513681).

It is a super-2 number, since 2×584905136722 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58490513672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74320463 + ... + 74321249.

It is an arithmetic number, because the mean of its divisors is an integer number (941994900).

It is a 1-persistent number, because it is pandigital, but 2⋅58490513672 = 116981027344 is not.

Almost surely, 258490513672 is an apocalyptic number.

It is an amenable number.

58490513672 is an abundant number, since it is smaller than the sum of its proper divisors (62084833528).

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

58490513672 is a wasteful number, since it uses less digits than its factorization.

58490513672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 58490513672 in words is "fifty-eight billion, four hundred ninety million, five hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 19 38 43 76 83 86 137 152 166 172 274 332 344 548 664 787 817 1096 1574 1577 1634 2603 3148 3154 3268 3569 5206 5891 6296 6308 6536 7138 10412 11371 11782 12616 14276 14953 20824 22742 23564 28552 29906 33841 45484 47128 59812 65321 67682 67811 90968 107819 111929 119624 130642 135364 135622 215638 216049 223858 261284 270728 271244 431276 432098 447716 488953 522568 542488 642979 862552 864196 895432 977906 1241099 1285958 1728392 1955812 2048561 2482198 2571916 2808803 3911624 4097122 4636217 4964396 5143832 5617606 8194244 8948977 9272434 9290107 9928792 11235212 16388488 17897954 18544868 18580214 22470424 35795908 37089736 37160428 53367257 71591816 74320856 88088123 106734514 170030563 176176246 213469028 340061126 352352492 384806011 426938056 680122252 704704984 769612022 1360244504 1539224044 3078448088 7311314209 14622628418 29245256836 58490513672