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983096046145 = 51741978813301
BaseRepresentation
bin11100100111001010001…
…01110011001001000001
310110222112122122121010001
432103211011303021001
5112101340041434040
62031343400040001
7131012015341513
oct16234505631101
93428478577101
10983096046145
11349a240a81a4
1213a644a63001
1371923163395
1435821409bb3
151a88c71259a
hexe4e5173241

983096046145 has 64 divisors (see below), whose sum is σ = 1294627344192. Its totient is φ = 713687040000.

The previous prime is 983096046137. The next prime is 983096046187. The reversal of 983096046145 is 541640690389.

It is a happy number.

It is a Cunningham number, because it is equal to 9915122+1.

It can be written as a sum of positive squares in 32 ways, for example, as 935725394241 + 47370651904 = 967329^2 + 217648^2 .

It is not a de Polignac number, because 983096046145 - 23 = 983096046137 is a prime.

It is a super-2 number, since 2×9830960461452 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297815995 + ... + 297819295.

It is an arithmetic number, because the mean of its divisors is an integer number (20228552253).

Almost surely, 2983096046145 is an apocalyptic number.

It is an amenable number.

983096046145 is a deficient number, since it is larger than the sum of its proper divisors (311531298047).

983096046145 is a wasteful number, since it uses less digits than its factorization.

983096046145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 983096046145 in words is "nine hundred eighty-three billion, ninety-six million, forty-six thousand, one hundred forty-five".

Divisors: 1 5 17 41 85 97 205 485 697 881 1649 3301 3485 3977 4405 8245 14977 16505 19885 36121 56117 67609 74885 85457 135341 180605 280585 320197 338045 427285 614057 676705 1452769 1600985 2300797 2908181 3070285 3503737 5443349 7263845 11503985 13128077 14540905 17518685 27216745 49439077 59563529 65640385 119235421 223177309 247195385 282093557 297817645 596177105 1115886545 1410467785 2027002157 4795590469 10135010785 11565835837 23977952345 57829179185 196619209229 983096046145