Search a number
-
+
2168087067 = 352921032
BaseRepresentation
bin1000000100111010…
…0110001000011011
312121002122020100000
42001032212020123
513420012241232
6555045344043
7104504302356
oct20116461033
95532566300
102168087067
11a129129a3
12506108023
13287239a73
14167d3129d
15ca51627c
hex813a621b

2168087067 has 54 divisors (see below), whose sum is σ = 3396492372. Its totient is φ = 1382001264.

The previous prime is 2168087057. The next prime is 2168087123. The reversal of 2168087067 is 7607808612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 2168087067 - 26 = 2168087003 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2168087057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21049338 + ... + 21049440.

Almost surely, 22168087067 is an apocalyptic number.

2168087067 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2168087067 is a deficient number, since it is larger than the sum of its proper divisors (1228405305).

2168087067 is an frugal number, since it uses more digits than its factorization.

2168087067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2168087067 is about 46562.7218598741. The cubic root of 2168087067 is about 1294.2720509406.

The spelling of 2168087067 in words is "two billion, one hundred sixty-eight million, eighty-seven thousand, sixty-seven".

Divisors: 1 3 9 27 29 81 87 103 243 261 309 783 841 927 2349 2523 2781 2987 7047 7569 8343 8961 10609 22707 25029 26883 31827 68121 80649 86623 95481 204363 241947 259869 286443 307661 725841 779607 859329 922983 2338821 2577987 2768949 7016463 8306847 8922169 21049389 24920541 26766507 74761623 80299521 240898563 722695689 2168087067