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1068229736704 = 2813249692
BaseRepresentation
bin11111000101101110111…
…01000011100100000000
310210010021202201011122101
433202313131003210000
5120000213303033304
62134423222320144
7140114504642134
oct17426735034400
93703252634571
101068229736704
11382040923a49
12153043b89054
137996ca35300
14399b9cc73c4
151cbc17448a4
hexf8b7743900

1068229736704 has 81 divisors (see below), whose sum is σ = 2309390595603. Its totient is φ = 492929888256.

The previous prime is 1068229736687. The next prime is 1068229736719. The reversal of 1068229736704 is 4076379228601.

The square root of 1068229736704 is 1033552.

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

It can be written as a sum of positive squares in 4 ways, for example, as 454276000000 + 613953736704 = 674000^2 + 783552^2 .

It is a super-2 number, since 2×10682297367042 (a number of 25 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 214976332 + ... + 214981300.

Almost surely, 21068229736704 is an apocalyptic number.

1068229736704 is the 1033552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068229736704

1068229736704 is an abundant number, since it is smaller than the sum of its proper divisors (1241160858899).

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

1068229736704 is an frugal number, since it uses more digits than its factorization.

1068229736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 1068229736704 in words is "one trillion, sixty-eight billion, two hundred twenty-nine million, seven hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 4969 5408 9938 10816 19876 21632 39752 43264 64597 79504 129194 159008 258388 318016 516776 636032 839761 1033552 1272064 1679522 2067104 3359044 4134208 6718088 8268416 13436176 16536832 24690961 26872352 49381922 53744704 98763844 107489408 197527688 214978816 320982493 395055376 641964986 790110752 1283929972 1580221504 2567859944 3160443008 4172772409 5135719888 6320886016 8345544818 10271439776 16691089636 20542879552 33382179272 41085759104 66764358544 82171518208 133528717088 267057434176 534114868352 1068229736704