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85585311075 = 35211144771693
BaseRepresentation
bin100111110110101001…
…0000011010101100011
322011220120212021102010
41033231102003111203
52400234314423300
6103152314124003
76116612066235
oct1175522032543
9264816767363
1085585311075
1133329749a50
1214706420603
1380bc318404
1441dc87c255
15235d9e0a50
hex13ed483563

85585311075 has 48 divisors (see below), whose sum is σ = 154473613056. Its totient is φ = 41466652800.

The previous prime is 85585311061. The next prime is 85585311079. The reversal of 85585311075 is 57011358558.

It is not a de Polignac number, because 85585311075 - 24 = 85585311059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85585311079) 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 47 ways as a sum of consecutive naturals, for example, 1157929 + ... + 1229621.

It is an arithmetic number, because the mean of its divisors is an integer number (3218200272).

Almost surely, 285585311075 is an apocalyptic number.

85585311075 is a deficient number, since it is larger than the sum of its proper divisors (68888301981).

85585311075 is a wasteful number, since it uses less digits than its factorization.

85585311075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73164 (or 73159 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 48.

The spelling of 85585311075 in words is "eighty-five billion, five hundred eighty-five million, three hundred eleven thousand, seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 1447 4341 7235 15917 21705 36175 47751 71693 79585 108525 215079 238755 358465 397925 788623 1075395 1193775 1792325 2365869 3943115 5376975 11829345 19715575 59146725 103739771 311219313 518698855 1141137481 1556096565 2593494275 3423412443 5705687405 7780482825 17117062215 28528437025 85585311075