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83908202729 = 1322917120629
BaseRepresentation
bin100111000100101010…
…0011001000011101001
322000120201002100021012
41032021110121003221
52333320444441404
6102314043553305
76030215645441
oct1161124310351
9260521070235
1083908202729
1132648aa169a
121431882b835
137bb2a25500
1440bdc35121
1522b165ea6e
hex13895190e9

83908202729 has 12 divisors (see below), whose sum is σ = 93992258700. Its totient is φ = 74782903104.

The previous prime is 83908202699. The next prime is 83908202759. The reversal of 83908202729 is 92720280938.

It is an interprime number because it is at equal distance from previous prime (83908202699) and next prime (83908202759).

It can be written as a sum of positive squares in 6 ways, for example, as 11734305625 + 72173897104 = 108325^2 + 268652^2 .

It is not a de Polignac number, because 83908202729 - 28 = 83908202473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83908202759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8555414 + ... + 8565215.

It is an arithmetic number, because the mean of its divisors is an integer number (7832688225).

Almost surely, 283908202729 is an apocalyptic number.

It is an amenable number.

83908202729 is a deficient number, since it is larger than the sum of its proper divisors (10084055971).

83908202729 is a wasteful number, since it uses less digits than its factorization.

83908202729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17120684 (or 17120671 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 83908202729 in words is "eighty-three billion, nine hundred eight million, two hundred two thousand, seven hundred twenty-nine".

Divisors: 1 13 29 169 377 4901 17120629 222568177 496498241 2893386301 6454477133 83908202729