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83825069975727 = 3411933531112093
BaseRepresentation
bin10011000011110100001011…
…100001001110100010101111
3101222210121011020211202112020
4103003310023201032202233
541441342220403210402
6454140412221041223
723441106243343623
oct2303641341164257
9358717136752466
1083825069975727
1124789015760413
129499a3a3b6213
1337a0893505742
14169b2255b3183
159a57383658bc
hex4c3d0b84e8af

83825069975727 has 16 divisors (see below), whose sum is σ = 115086005367648. Its totient is φ = 54237881733120.

The previous prime is 83825069975683. The next prime is 83825069975741. The reversal of 83825069975727 is 72757996052838.

It is not a de Polignac number, because 83825069975727 - 214 = 83825069959343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83825069973727) 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, 1765532308 + ... + 1765579785.

It is an arithmetic number, because the mean of its divisors is an integer number (7192875335478).

Almost surely, 283825069975727 is an apocalyptic number.

83825069975727 is a deficient number, since it is larger than the sum of its proper divisors (31260935391921).

83825069975727 is a wasteful number, since it uses less digits than its factorization.

83825069975727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531112330.

The product of its (nonzero) digits is 3200601600, while the sum is 78.

The spelling of 83825069975727 in words is "eighty-three trillion, eight hundred twenty-five billion, sixty-nine million, nine hundred seventy-five thousand, seven hundred twenty-seven".

Divisors: 1 3 41 123 193 579 7913 23739 3531112093 10593336279 144775595813 434326787439 681504633949 2044513901847 27941689991909 83825069975727