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983663820401 = 17338321376947
BaseRepresentation
bin11100101000001101110…
…11101011111001110001
310111001000020000111222012
432110012323223321301
5112104020414223101
62031520001252305
7131032051342163
oct16240673537161
93431006014865
10983663820401
1134a195645419
1213a783034095
13719b3987b92
14358769a4933
151a8c24b6bbb
hexe506eebe71

983663820401 has 16 divisors (see below), whose sum is σ = 992539920384. Its totient is φ = 974827645824.

The previous prime is 983663820397. The next prime is 983663820421. The reversal of 983663820401 is 104028366389.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 983663820401 - 22 = 983663820397 is a prime.

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 983663820401.

It is not an unprimeable number, because it can be changed into a prime (983663820421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141592010 + ... + 141598956.

It is an arithmetic number, because the mean of its divisors is an integer number (62033745024).

Almost surely, 2983663820401 is an apocalyptic number.

It is an amenable number.

983663820401 is a deficient number, since it is larger than the sum of its proper divisors (8876099983).

983663820401 is a wasteful number, since it uses less digits than its factorization.

983663820401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9640.

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 983663820401 in words is "nine hundred eighty-three billion, six hundred sixty-three million, eight hundred twenty thousand, four hundred one".

Divisors: 1 173 383 2137 6947 66259 369701 818471 1201831 2660701 14845739 141595483 460301273 2568312847 5685918037 983663820401