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803983015801 = 742926312
BaseRepresentation
bin10111011001100010001…
…11110011111101111001
32211212012221212220111101
423230301013303331321
5101133024123001201
61413202242131401
7112041306610000
oct13546107637571
92755187786441
10803983015801
1128aa704a8499
1210b998350b61
135aa7a202564
142acad337c37
1515da7d0ed01
hexbb311f3f79

803983015801 has 45 divisors (see below), whose sum is σ = 972923717103. Its totient is φ = 664310792880.

The previous prime is 803983015799. The next prime is 803983015817. The reversal of 803983015801 is 108510389308.

The square root of 803983015801 is 896651.

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., 421589191401 + 382393824400 = 649299^2 + 618380^2 .

It is not a de Polignac number, because 803983015801 - 21 = 803983015799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (803983015861) 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, 1274140756 + ... + 1274141386.

Almost surely, 2803983015801 is an apocalyptic number.

803983015801 is the 896651-st square number.

803983015801 is the 448326-th centered octagonal number.

It is an amenable number.

803983015801 is a deficient number, since it is larger than the sum of its proper divisors (168940701302).

803983015801 is an frugal number, since it uses more digits than its factorization.

803983015801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 803983015801 in words is "eight hundred three billion, nine hundred eighty-three million, fifteen thousand, eight hundred one".

Divisors: 1 7 29 49 203 343 631 841 1421 2401 4417 5887 9947 18299 30919 41209 69629 128093 216433 288463 398161 530671 896651 1515031 2019241 2787127 3714697 6276557 11546669 19509889 26002879 43935899 80826683 136569223 182020153 334853401 565786781 955984561 1274141071 2343973807 3960507467 16407816649 27723552269 114854716543 803983015801