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171806934016 = 210129532
BaseRepresentation
bin1010000000000001111…
…1011100010000000000
3121102110112001112121101
42200000133130100000
510303330033342031
6210532122504144
715261351562234
oct2400037342000
9542415045541
10171806934016
1166954598473
1229369965054
1313280404303
14845ba365c4
1547082c3361
hex28007dc400

171806934016 has 33 divisors (see below), whose sum is σ = 343472604661. Its totient is φ = 85896835072.

The previous prime is 171806934001. The next prime is 171806934017. The reversal of 171806934016 is 610439608171.

The square root of 171806934016 is 414496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16179840000 + 155627094016 = 127200^2 + 394496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171806934017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13257396 + ... + 13270348.

Almost surely, 2171806934016 is an apocalyptic number.

171806934016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

171806934016 is the 414496-th square number.

It is an amenable number.

171806934016 is a deficient number, since it is larger than the sum of its proper divisors (171665670645).

171806934016 is an frugal number, since it uses more digits than its factorization.

171806934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25926 (or 12955 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 171806934016 in words is "one hundred seventy-one billion, eight hundred six million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 12953 25906 51812 103624 207248 414496 828992 1657984 3315968 6631936 13263872 167780209 335560418 671120836 1342241672 2684483344 5368966688 10737933376 21475866752 42951733504 85903467008 171806934016