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58795580484 = 22341927092
BaseRepresentation
bin110110110000011111…
…010101110001000100
312121202120020221210000
4312300133111301010
51430403132033414
643002121201300
74151003121354
oct666037256104
9177676227700
1058795580484
1122a31632933
12b48a630230
135710079214
142bba932b64
1517e1b42b09
hexdb07d5c44

58795580484 has 135 divisors (see below), whose sum is σ = 162447799437. Its totient is φ = 18540837792.

The previous prime is 58795580479. The next prime is 58795580551. The reversal of 58795580484 is 48408559785.

The square root of 58795580484 is 242478.

It is a perfect power (a square), and thus also a powerful number.

58795580484 is a `hidden beast` number, since 5 + 8 + 7 + 9 + 5 + 580 + 48 + 4 = 666.

58795580484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7846062084 + 50949518400 = 88578^2 + 225720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82927122 + ... + 82927830.

Almost surely, 258795580484 is an apocalyptic number.

58795580484 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

58795580484 is the 242478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58795580484

58795580484 is an abundant number, since it is smaller than the sum of its proper divisors (103652218953).

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

58795580484 is an equidigital number, since it uses as much as digits as its factorization.

58795580484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 58795580484 in words is "fifty-eight billion, seven hundred ninety-five million, five hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 709 722 1026 1083 1418 1444 1539 2052 2127 2166 2836 3078 3249 4254 4332 6156 6381 6498 8508 9747 12762 12996 13471 19143 19494 25524 26942 29241 38286 38988 40413 53884 57429 58482 76572 80826 114858 116964 121239 161652 229716 242478 255949 363717 484956 502681 511898 727434 767847 1005362 1023796 1091151 1454868 1508043 1535694 2010724 2182302 2303541 3016086 3071388 4364604 4524129 4607082 6032172 6910623 9048258 9214164 9550939 13572387 13821246 18096516 19101878 20731869 27144774 27642492 28652817 38203756 40717161 41463738 54289548 57305634 81434322 82927476 85958451 114611268 162868644 171916902 181467841 257875353 343833804 362935682 515750706 544403523 725871364 773626059 1031501412 1088807046 1547252118 1633210569 2177614092 3094504236 3266421138 4899631707 6532842276 9799263414 14698895121 19598526828 29397790242 58795580484