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145564465541 = 1129456314939
BaseRepresentation
bin1000011110010001010…
…0010111100110000101
3111220201122020000110112
42013210110113212011
54341104000344131
6150512115402405
713342136353625
oct2074424274605
9456648200415
10145564465541
11568083894a0
12242652b3405
131095a657361
14708c666885
153bbe4c702b
hex21e4517985

145564465541 has 8 divisors (see below), whose sum is σ = 164273378400. Its totient is φ = 127768182640.

The previous prime is 145564465511. The next prime is 145564465567.

145564465541 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 145564465541 - 26 = 145564465477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145564465541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145564465511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228157151 + ... + 228157788.

It is an arithmetic number, because the mean of its divisors is an integer number (20534172300).

Almost surely, 2145564465541 is an apocalyptic number.

145564465541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145564465541 is a deficient number, since it is larger than the sum of its proper divisors (18708912859).

145564465541 is a wasteful number, since it uses less digits than its factorization.

145564465541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456314979.

The product of its digits is 5760000, while the sum is 50.

The spelling of 145564465541 in words is "one hundred forty-five billion, five hundred sixty-four million, four hundred sixty-five thousand, five hundred forty-one".

Divisors: 1 11 29 319 456314939 5019464329 13233133231 145564465541