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85692172068 = 223217118332
BaseRepresentation
bin100111111001110100…
…1101100011100100100
322012012000221101010200
41033303221230130210
52400444144001233
6103211052350500
76122350305306
oct1176351543444
9265160841120
1085692172068
1133383aa7218
1214736175430
1381084c1a79
14420cb37976
15236809d313
hex13f3a6c724

85692172068 has 54 divisors (see below), whose sum is σ = 229371962274. Its totient is φ = 26881546752.

The previous prime is 85692172039. The next prime is 85692172079. The reversal of 85692172068 is 86027129658.

85692172068 is a `hidden beast` number, since 8 + 569 + 2 + 1 + 72 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 67097577024 + 18594595044 = 259032^2 + 136362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7235880 + ... + 7247712.

It is an arithmetic number, because the mean of its divisors is an integer number (4247628931).

Almost surely, 285692172068 is an apocalyptic number.

It is an amenable number.

85692172068 is an abundant number, since it is smaller than the sum of its proper divisors (143679790206).

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

85692172068 is a wasteful number, since it uses less digits than its factorization.

85692172068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23693 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 85692172068 in words is "eighty-five billion, six hundred ninety-two million, one hundred seventy-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 11833 23666 35499 47332 70998 106497 141996 201161 212994 402322 425988 603483 804644 1206966 1810449 2413932 3620898 7241796 140019889 280039778 420059667 560079556 840119334 1260179001 1680238668 2380338113 2520358002 4760676226 5040716004 7141014339 9521352452 14282028678 21423043017 28564057356 42846086034 85692172068