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58958424540 = 223251760132059
BaseRepresentation
bin110110111010001100…
…100010100111011100
312122011220200021211100
4312322030202213130
51431221324041130
643030215353100
74155021224361
oct667214424734
9178156607740
1058958424540
1123005547aa4
12b515082790
135737a24352
142bd4402468
1518010acc60
hexdba3229dc

58958424540 has 144 divisors (see below), whose sum is σ = 189681579360. Its totient is φ = 14772326400.

The previous prime is 58958424533. The next prime is 58958424589. The reversal of 58958424540 is 4542485985.

58958424540 is a `hidden beast` number, since 5 + 8 + 9 + 58 + 42 + 4 + 540 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1823031 + ... + 1855089.

It is an arithmetic number, because the mean of its divisors is an integer number (1317233190).

Almost surely, 258958424540 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 58958424540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94840789680).

58958424540 is an abundant number, since it is smaller than the sum of its proper divisors (130723154820).

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

58958424540 is a wasteful number, since it uses less digits than its factorization.

58958424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32692 (or 32687 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 58958424540 in words is "fifty-eight billion, nine hundred fifty-eight million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 601 612 765 1020 1202 1530 1803 2404 3005 3060 3606 5409 6010 7212 9015 10217 10818 12020 18030 20434 21636 27045 30651 32059 36060 40868 51085 54090 61302 64118 91953 96177 102170 108180 122604 128236 153255 160295 183906 192354 204340 288531 306510 320590 367812 384708 459765 480885 545003 577062 613020 641180 919530 961770 1090006 1154124 1442655 1635009 1839060 1923540 2180012 2725015 2885310 3270018 4905027 5450030 5770620 6540036 8175045 9810054 10900060 16350090 19267459 19620108 24525135 32700180 38534918 49050270 57802377 77069836 96337295 98100540 115604754 173407131 192674590 231209508 289011885 327546803 346814262 385349180 578023770 655093606 693628524 867035655 982640409 1156047540 1310187212 1637734015 1734071310 1965280818 2947921227 3275468030 3468142620 3930561636 4913202045 5895842454 6550936060 9826404090 11791684908 14739606135 19652808180 29479212270 58958424540