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39985658993 = 726531249669
BaseRepresentation
bin100101001111010101…
…001011110001110001
310211012200001221100002
4211033111023301301
51123342312041433
630211423235345
72613611331200
oct451725136161
9124180057302
1039985658993
1115a59953475
1278bb148b55
133a03100b67
141d14717237
1510906029e8
hex94f54bc71

39985658993 has 12 divisors (see below), whose sum is σ = 46585198260. Its totient is φ = 34220908512.

The previous prime is 39985658989. The next prime is 39985659029.

It is a happy number.

39985658993 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 14905235569 + 25080423424 = 122087^2 + 158368^2 .

It is not a de Polignac number, because 39985658993 - 22 = 39985658989 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 39985658993.

It is not an unprimeable number, because it can be changed into a prime (39985655993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592838 + ... + 656831.

It is an arithmetic number, because the mean of its divisors is an integer number (3882099855).

Almost surely, 239985658993 is an apocalyptic number.

It is an amenable number.

39985658993 is a deficient number, since it is larger than the sum of its proper divisors (6599539267).

39985658993 is a wasteful number, since it uses less digits than its factorization.

39985658993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250336 (or 1250329 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 74.

The spelling of 39985658993 in words is "thirty-nine billion, nine hundred eighty-five million, six hundred fifty-eight thousand, nine hundred ninety-three".

Divisors: 1 7 49 653 4571 31997 1249669 8747683 61233781 816033857 5712236999 39985658993