Search a number
-
+
10145216547 = 34191655757
BaseRepresentation
bin10010111001011001…
…11011100000100011
3222012001000101210000
421130230323200203
5131234133412142
64354411111043
7506256626544
oct113454734043
928161011700
1010145216547
11433678a394
121b71742483
13c58b0301b
146c35644cb
153e59e514c
hex25cb3b823

10145216547 has 20 divisors (see below), whose sum is σ = 15234569856. Its totient is φ = 6728056560.

The previous prime is 10145216539. The next prime is 10145216569. The reversal of 10145216547 is 74561254101.

10145216547 is a `hidden beast` number, since 1 + 0 + 1 + 452 + 165 + 47 = 666.

10145216547 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10145216547 - 23 = 10145216539 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10145216527) 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 19 ways as a sum of consecutive naturals, for example, 312408 + ... + 343349.

Almost surely, 210145216547 is an apocalyptic number.

10145216547 is a deficient number, since it is larger than the sum of its proper divisors (5089353309).

10145216547 is an equidigital number, since it uses as much as digits as its factorization.

10145216547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655960 (or 655951 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10145216547 in words is "ten billion, one hundred forty-five million, two hundred sixteen thousand, five hundred forty-seven".

Divisors: 1 3 9 27 81 191 573 1719 5157 15471 655757 1967271 5901813 17705439 53116317 125249587 375748761 1127246283 3381738849 10145216547