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4883874582601 = 761723792
BaseRepresentation
bin100011100010001110110…
…0111000001000001001001
3122021220010121122201001001
41013010131213001001021
51120004133343120401
614215342045455001
71012563652000000
oct107043547010111
918256117581031
104883874582601
11161326a974723
1266a63b871461
13295716828931
1412c548c67c37
15870929ba601
hex4711d9c1049

4883874582601 has 63 divisors (see below), whose sum is σ = 6068742351879. Its totient is φ = 3929536836288.

The previous prime is 4883874582577. The next prime is 4883874582667. The reversal of 4883874582601 is 1062854783884.

The square root of 4883874582601 is 2209949.

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

4883874582601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3802324502025 + 1081550080576 = 1949955^2 + 1039976^2 .

It is not a de Polignac number, because 4883874582601 - 25 = 4883874582569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4883874586601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12886212430 + ... + 12886212808.

Almost surely, 24883874582601 is an apocalyptic number.

4883874582601 is the 2209949-th square number.

4883874582601 is the 1104975-th centered octagonal number.

It is an amenable number.

4883874582601 is a deficient number, since it is larger than the sum of its proper divisors (1184867769278).

4883874582601 is an frugal number, since it uses more digits than its factorization.

4883874582601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 64.

Multiplying 4883874582601 by its sum of digits (64), we get a square (312567973286464 = 176795922).

The spelling of 4883874582601 in words is "four trillion, eight hundred eighty-three billion, eight hundred seventy-four million, five hundred eighty-two thousand, six hundred one".

Divisors: 1 7 17 49 119 289 343 379 833 2023 2401 2653 5831 6443 14161 16807 18571 40817 45101 99127 109531 117649 129997 143641 285719 315707 693889 766717 909979 1005487 2000033 2209949 2441897 4857223 5367019 6369853 7038409 15469643 17093279 34000561 37569133 41512249 44588971 49268863 108287501 119652953 262983931 290585743 344882041 758012507 837570671 1840887517 2034100201 2414174287 5862994697 12886212619 14238701407 16899220009 41040962879 99670909849 287286740153 697696368943 4883874582601