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83126000661 = 311216711712
BaseRepresentation
bin100110101101010110…
…0100001110000010101
321221120012020100202020
41031122230201300111
52330220224010121
6102104302403353
76001640230104
oct1153254416025
9257505210666
1083126000661
1132287507700
121413a890559
137ab9964652
144047dc003b
152267b511c6
hex135ab21c15

83126000661 has 36 divisors (see below), whose sum is σ = 122660784288. Its totient is φ = 50034956400.

The previous prime is 83126000653. The next prime is 83126000717. The reversal of 83126000661 is 16600062138.

It is not a de Polignac number, because 83126000661 - 23 = 83126000653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83126000641) 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 35 ways as a sum of consecutive naturals, for example, 70986606 + ... + 70987776.

It is an arithmetic number, because the mean of its divisors is an integer number (3407244008).

Almost surely, 283126000661 is an apocalyptic number.

It is an amenable number.

83126000661 is a deficient number, since it is larger than the sum of its proper divisors (39534783627).

83126000661 is a wasteful number, since it uses less digits than its factorization.

83126000661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 83126000661 its reverse (16600062138), we get a palindrome (99726062799).

The spelling of 83126000661 in words is "eighty-three billion, one hundred twenty-six million, six hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 11 33 121 167 363 501 1171 1837 3513 5511 12881 20207 38643 60621 141691 195557 425073 586671 1371241 2151127 4113723 6453381 15083651 23662397 45250953 70987191 165920161 228997247 497760483 686991741 2518969717 7556909151 27708666887 83126000661