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83753958468 = 22343601270073
BaseRepresentation
bin100111000000000011…
…1111111110001000100
322000011221211220220210
41032000013333301010
52333012003132333
6102250453555420
76023333620635
oct1160007776104
9260157756823
1083753958468
1132579a206a4
1214295045b70
137b89a9b80b
1440a756388c
1522a2d42a63
hex13801ffc44

83753958468 has 48 divisors (see below), whose sum is σ = 200304163136. Its totient is φ = 27223257600.

The previous prime is 83753958467. The next prime is 83753958469. The reversal of 83753958468 is 86485935738.

It is an interprime number because it is at equal distance from previous prime (83753958467) and next prime (83753958469).

It is a junction number, because it is equal to n+sod(n) for n = 83753958399 and 83753958408.

It is not an unprimeable number, because it can be changed into a prime (83753958467) 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 15 ways as a sum of consecutive naturals, for example, 175080 + ... + 445152.

Almost surely, 283753958468 is an apocalyptic number.

It is an amenable number.

83753958468 is an abundant number, since it is smaller than the sum of its proper divisors (116550204668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83753958468 is a wasteful number, since it uses less digits than its factorization.

83753958468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270724 (or 270722 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 83753958468 in words is "eighty-three billion, seven hundred fifty-three million, nine hundred fifty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 601 1202 1803 2404 3606 7212 25843 51686 77529 103372 155058 270073 310116 540146 810219 1080292 1620438 3240876 11613139 23226278 34839417 46452556 69678834 139357668 162313873 324627746 486941619 649255492 973883238 1947766476 6979496539 13958993078 20938489617 27917986156 41876979234 83753958468