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83123713060 = 225171012420609
BaseRepresentation
bin100110101101010001…
…1110011010000100100
321221120000221010202021
41031122203303100210
52330214132304220
6102104141352524
76001611621523
oct1153243632044
9257500833667
1083123713060
1132286194a23
1214139b68744
137ab934333b
1440479864ba
15226784d4aa
hex135a8f3424

83123713060 has 48 divisors (see below), whose sum is σ = 186658078320. Its totient is φ = 30983782400.

The previous prime is 83123713051. The next prime is 83123713061. The reversal of 83123713060 is 6031732138.

It can be written as a sum of positive squares in 8 ways, for example, as 6154088704 + 76969624356 = 78448^2 + 277434^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (83123713061) 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, 1175965 + ... + 1244644.

It is an arithmetic number, because the mean of its divisors is an integer number (3888709965).

Almost surely, 283123713060 is an apocalyptic number.

It is an amenable number.

83123713060 is an abundant number, since it is smaller than the sum of its proper divisors (103534365260).

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

83123713060 is a wasteful number, since it uses less digits than its factorization.

83123713060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420736 (or 2420734 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 83123713060 in words is "eighty-three billion, one hundred twenty-three million, seven hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 2420609 4841218 9682436 12103045 24206090 41150353 48412180 82300706 164601412 205751765 244481509 411503530 488963018 823007060 977926036 1222407545 2444815090 4156185653 4889630180 8312371306 16624742612 20780928265 41561856530 83123713060