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83538678393 = 32194631055141
BaseRepresentation
bin100110111001101001…
…0110001001001111001
321222121221202120011200
41031303102301021321
52332041400202033
6102213243444413
76015111023142
oct1156322611171
9258557676150
1083538678393
1132479451585
1214234b26709
137b542c4561
144086b24ac9
15228debb013
hex13734b1279

83538678393 has 24 divisors (see below), whose sum is σ = 127292330880. Its totient is φ = 52647265440.

The previous prime is 83538678359. The next prime is 83538678439. The reversal of 83538678393 is 39387683538.

83538678393 is a `hidden beast` number, since 8 + 3 + 538 + 6 + 7 + 8 + 3 + 93 = 666.

It is not a de Polignac number, because 83538678393 - 217 = 83538547321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83538678393.

It is not an unprimeable number, because it can be changed into a prime (83538678343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448398 + ... + 606743.

It is an arithmetic number, because the mean of its divisors is an integer number (5303847120).

Almost surely, 283538678393 is an apocalyptic number.

It is an amenable number.

83538678393 is a deficient number, since it is larger than the sum of its proper divisors (43753652487).

83538678393 is a wasteful number, since it uses less digits than its factorization.

83538678393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055629 (or 1055626 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 83538678393 in words is "eighty-three billion, five hundred thirty-eight million, six hundred seventy-eight thousand, three hundred ninety-three".

Divisors: 1 3 9 19 57 171 463 1389 4167 8797 26391 79173 1055141 3165423 9496269 20047679 60143037 180429111 488530283 1465590849 4396772547 9282075377 27846226131 83538678393