Search a number
-
+
171185298480001 = 131912716193370691
BaseRepresentation
bin100110111011000100101110…
…111010000001101110000001
3211110010011011210010210222001
4212323010232322001232001
5134414144442402330001
61404025235050144001
751025505164511101
oct4673045672015601
9743104153123861
10171185298480001
114a5aa306222863
1217248a36122001
1374699206a6590
14303b5ac477201
1514bcdc849a001
hex9bb12ee81b81

171185298480001 has 32 divisors (see below), whose sum is σ = 195705074073600. Its totient is φ = 148429979046720.

The previous prime is 171185298479959. The next prime is 171185298480037. The reversal of 171185298480001 is 100084892581171.

It is a cyclic number.

It is not a de Polignac number, because 171185298480001 - 223 = 171185290091393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (171185298480041) 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 31 ways as a sum of consecutive naturals, for example, 49101066 + ... + 52471756.

It is an arithmetic number, because the mean of its divisors is an integer number (6115783564800).

Almost surely, 2171185298480001 is an apocalyptic number.

It is an amenable number.

171185298480001 is a deficient number, since it is larger than the sum of its proper divisors (24519775593599).

171185298480001 is a wasteful number, since it uses less digits than its factorization.

171185298480001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372469.

The product of its (nonzero) digits is 1290240, while the sum is 55.

The spelling of 171185298480001 in words is "one hundred seventy-one trillion, one hundred eighty-five billion, two hundred ninety-eight million, four hundred eighty thousand, one".

Divisors: 1 13 19 127 247 1619 1651 2413 21047 30761 31369 205613 399893 2672969 3370691 3906647 43818983 50786411 64043129 428077757 832560677 5457148729 5565010841 8133477383 70942933477 103685825851 105735205979 693057888583 1347915736063 9009752551579 13168099883077 171185298480001