Search a number
-
+
145769967541 = 1117779518543
BaseRepresentation
bin1000011111000010010…
…0010010111110110101
3111221020221220121012201
42013300210102332311
54342014102430131
6150544340144501
713350213165052
oct2076044227665
9457227817181
10145769967541
115690338a160
1224302098131
13109910b9a83
1470aba7c029
153bd256b761
hex21f0912fb5

145769967541 has 8 divisors (see below), whose sum is σ = 168376005504. Its totient is φ = 124722966720.

The previous prime is 145769967533. The next prime is 145769967547.

145769967541 is nontrivially palindromic in base 10.

145769967541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 145769967541 - 23 = 145769967533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145769967547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389759085 + ... + 389759458.

It is an arithmetic number, because the mean of its divisors is an integer number (21047000688).

Almost surely, 2145769967541 is an apocalyptic number.

145769967541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145769967541 is a deficient number, since it is larger than the sum of its proper divisors (22606037963).

145769967541 is a wasteful number, since it uses less digits than its factorization.

145769967541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779518571.

The product of its digits is 57153600, while the sum is 64.

The spelling of 145769967541 in words is "one hundred forty-five billion, seven hundred sixty-nine million, nine hundred sixty-seven thousand, five hundred forty-one".

Divisors: 1 11 17 187 779518543 8574703973 13251815231 145769967541