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983483547649 = 2961792229389
BaseRepresentation
bin11100100111111000011…
…00000000000000000001
310111000112122210201020121
432103330030000000001
5112103133242011044
62031450041340241
7131024432136511
oct16237414000001
93430478721217
10983483547649
1134a102906879
1213a732797681
1371985519b05
143585aa79841
151a8b1757984
hexe4fc300001

983483547649 has 48 divisors (see below), whose sum is σ = 1054608282000. Its totient is φ = 915793482240.

The previous prime is 983483547637. The next prime is 983483547653. The reversal of 983483547649 is 946745384389.

It can be written as a sum of positive squares in 8 ways, for example, as 27732907024 + 955750640625 = 166532^2 + 977625^2 .

It is not a de Polignac number, because 983483547649 - 237 = 846044594177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983483547689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2528235147 + ... + 2528235535.

It is an arithmetic number, because the mean of its divisors is an integer number (21971005875).

It is a Proth number, since it is equal to 937923 ⋅ 220 + 1 and 937923 < 220.

Almost surely, 2983483547649 is an apocalyptic number.

It is an amenable number.

983483547649 is a deficient number, since it is larger than the sum of its proper divisors (71124734351).

983483547649 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (983483547648) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (866).

983483547649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 787 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 70.

The spelling of 983483547649 in words is "nine hundred eighty-three billion, four hundred eighty-three million, five hundred forty-seven thousand, six hundred forty-nine".

Divisors: 1 29 61 79 229 389 1769 2291 4819 6241 6641 11281 13969 18091 23729 30731 89081 139751 180989 380701 405101 524639 688141 891199 1103551 1429189 1874591 2427749 2583349 5433941 7037399 11040329 32002979 41446481 54363139 70404721 87180529 148092689 157584289 204084571 429281339 555954521 2528235341 4294687981 12449158831 16122681109 33913225781 983483547649