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1083283374481 = 7411219312
BaseRepresentation
bin11111100001110001011…
…10001000000110010001
310211120010212210012112021
433300320232020012101
5120222031020440411
62145353054131441
7141156525520000
oct17607056100621
93746125705467
101083283374481
11388466250900
12155b454b0b81
137b1cb711499
143a6072b0c37
151d2a3101a71
hexfc38b88191

1083283374481 has 45 divisors (see below), whose sum is σ = 1389806255369. Its totient is φ = 843679775400.

The previous prime is 1083283374449. The next prime is 1083283374487. The reversal of 1083283374481 is 1844733823801.

The square root of 1083283374481 is 1040809.

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

It is not a de Polignac number, because 1083283374481 - 25 = 1083283374449 is a prime.

It is a super-2 number, since 2×10832833744812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1083283374487) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 560995086 + ... + 560997016.

Almost surely, 21083283374481 is an apocalyptic number.

1083283374481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1083283374481 is the 1040809-th square number.

1083283374481 is the 520405-th centered octagonal number.

It is an amenable number.

1083283374481 is a deficient number, since it is larger than the sum of its proper divisors (306522880888).

1083283374481 is an frugal number, since it uses more digits than its factorization.

1083283374481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3912 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 1083283374481 in words is "one trillion, eighty-three billion, two hundred eighty-three million, three hundred seventy-four thousand, four hundred eighty-one".

Divisors: 1 7 11 49 77 121 343 539 847 1931 2401 3773 5929 13517 21241 26411 41503 94619 148687 233651 290521 662333 1040809 1635557 3728761 4636331 7285663 11448899 26101327 41016371 50999641 80142293 182709289 287114597 451180081 560996051 1278965023 2009802179 3158260567 8952755161 14068615253 22107823969 98480306771 154754767783 1083283374481