Search a number
-
+
145205516167 = 17431271564091
BaseRepresentation
bin1000011100111011101…
…1000101011110000111
3111212210121210111111021
42013032323011132013
54334340103004132
6150412334052011
713330220344165
oct2071673053607
9455717714437
10145205516167
1156643801518
122418504a007
131090118988a
147056b0a235
153b9cc21997
hex21ceec5787

145205516167 has 16 divisors (see below), whose sum is σ = 158561390592. Its totient is φ = 132434628480.

The previous prime is 145205516161. The next prime is 145205516171. The reversal of 145205516167 is 761615502541.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 145205516167 - 227 = 145071298439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145205516161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689209 + ... + 874882.

It is an arithmetic number, because the mean of its divisors is an integer number (9910086912).

Almost surely, 2145205516167 is an apocalyptic number.

145205516167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

145205516167 is a deficient number, since it is larger than the sum of its proper divisors (13355874425).

145205516167 is a wasteful number, since it uses less digits than its factorization.

145205516167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564278.

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 145205516167 in words is "one hundred forty-five billion, two hundred five million, five hundred sixteen thousand, one hundred sixty-seven".

Divisors: 1 17 43 127 731 2159 5461 92837 1564091 26589547 67255913 198639557 1143350521 3376872469 8541500951 145205516167