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1058355367696 = 2411210322272
BaseRepresentation
bin11110110011010101110…
…01010100111100010000
310202011210121100020211201
433121222321110330100
5114320002433231241
62130111324320544
7136315014123244
oct17315271247420
93664717306751
101058355367696
11378934017400
121511490a3154
1378a58093b03
1439320708424
151c7e4900931
hexf66ae54f10

1058355367696 has 135 divisors (see below), whose sum is σ = 2286091111143. Its totient is φ = 474301354560.

The previous prime is 1058355367681. The next prime is 1058355367721. The reversal of 1058355367696 is 6967635538501.

The square root of 1058355367696 is 1028764.

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

It is a super-2 number, since 2×10583553676962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4662358335 + ... + 4662358561.

Almost surely, 21058355367696 is an apocalyptic number.

1058355367696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1058355367696 is the 1028764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058355367696

1058355367696 is an abundant number, since it is smaller than the sum of its proper divisors (1227735743447).

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

1058355367696 is an equidigital number, since it uses as much as digits as its factorization.

1058355367696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 64.

Multiplying 1058355367696 by its sum of digits (64), we get a square (67734743532544 = 82301122).

The spelling of 1058355367696 in words is "one trillion, fifty-eight billion, three hundred fifty-five million, three hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 227 242 412 454 484 824 908 968 1133 1648 1816 1936 2266 2497 3632 4532 4994 9064 9988 10609 12463 18128 19976 21218 23381 24926 27467 39952 42436 46762 49852 51529 54934 84872 93524 99704 103058 109868 116699 169744 187048 199408 206116 219736 233398 257191 374096 412232 439472 466796 514382 566819 824464 933592 1028764 1133638 1283689 1867184 2057528 2267276 2408243 2567378 2829101 4115056 4534552 4816486 5134756 5307487 5658202 6235009 9069104 9632972 10269512 10614974 11316404 12470018 19265944 20539024 21229948 22632808 24940036 26490673 38531888 42459896 45265616 49880072 52981346 58382357 84919792 99760144 105962692 116764714 211925384 233529428 291397403 423850768 467058856 546671161 582794806 642205927 934117712 1093342322 1165589612 1284411854 2186684644 2331179224 2568823708 4373369288 4662358448 5137647416 6013382771 8746738576 10275294832 12026765542 24053531084 48107062168 66147210481 96214124336 132294420962 264588841924 529177683848 1058355367696