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83201038077 = 3296271152501
BaseRepresentation
bin100110101111100101…
…0110001011011111101
321221202102102122201210
41031133022301123331
52330343431204302
6102115542555033
76003541104063
oct1153712613375
9257672378653
1083201038077
11323158a93a3
121415ba38a79
137acc377ca1
144053d54033
15226e52466c
hex135f2b16fd

83201038077 has 16 divisors (see below), whose sum is σ = 114779105280. Its totient is φ = 53545800000.

The previous prime is 83201038049. The next prime is 83201038079. The reversal of 83201038077 is 77083010238.

It is not a de Polignac number, because 83201038077 - 27 = 83201037949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83201038079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469327 + ... + 621827.

It is an arithmetic number, because the mean of its divisors is an integer number (7173694080).

Almost surely, 283201038077 is an apocalyptic number.

83201038077 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

83201038077 is a deficient number, since it is larger than the sum of its proper divisors (31578067203).

83201038077 is a wasteful number, since it uses less digits than its factorization.

83201038077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158804.

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 83201038077 in words is "eighty-three billion, two hundred one million, thirty-eight thousand, seventy-seven".

Divisors: 1 3 29 87 6271 18813 152501 181859 457503 545577 4422529 13267587 956333771 2869001313 27733679359 83201038077