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1059590244496 = 24729723792
BaseRepresentation
bin11110110101101001000…
…00000000100010010000
310202021222122222111100111
433122310200000202100
5114330020100310441
62130434040131104
7136360430321200
oct17326440004220
93667878874314
101059590244496
11379408084643
12151432766a94
1378bc3b79c44
14393da716400
151c86802a081
hexf6b4800890

1059590244496 has 135 divisors (see below), whose sum is σ = 2419389912249. Its totient is φ = 448242729984.

The previous prime is 1059590244467. The next prime is 1059590244509. The reversal of 1059590244496 is 6944420959501.

The square root of 1059590244496 is 1029364.

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

It can be written as a sum of positive squares in only one way, i.e., 475796448400 + 583793796096 = 689780^2 + 764064^2 .

It is a super-2 number, since 2×10595902444962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1059590244496.

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, 2795752435 + ... + 2795752813.

Almost surely, 21059590244496 is an apocalyptic number.

1059590244496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1059590244496 is the 1029364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1059590244496

1059590244496 is an abundant number, since it is smaller than the sum of its proper divisors (1359799667753).

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

1059590244496 is an frugal number, since it uses more digits than its factorization.

1059590244496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 1059590244496 in words is "one trillion, fifty-nine billion, five hundred ninety million, two hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 194 196 379 388 392 679 758 776 784 1358 1516 1552 2653 2716 3032 4753 5306 5432 6064 9409 9506 10612 10864 18571 18818 19012 21224 36763 37142 37636 38024 42448 65863 73526 74284 75272 76048 131726 143641 147052 148568 150544 257341 263452 287282 294104 297136 461041 514682 526904 574564 588208 922082 1005487 1029364 1053808 1149128 1801387 1844164 2010974 2058728 2298256 3566011 3602774 3688328 4021948 4117456 7038409 7132022 7205548 7376656 8043896 13933177 14076818 14264044 14411096 16087792 24962077 27866354 28153636 28528088 28822192 49924154 55732708 56307272 57056176 97532239 99848308 111465416 112614544 174734539 195064478 199696616 222930832 349469078 390128956 399393232 682725673 698938156 780257912 1351518169 1365451346 1397876312 1560515824 2703036338 2730902692 2795752624 5406072676 5461805384 9460627183 10812145352 10923610768 18921254366 21624290704 37842508732 66224390281 75685017464 132448780562 151370034928 264897561124 529795122248 1059590244496