Search a number
-
+
632144203145 = 5731328353631
BaseRepresentation
bin10010011001011101011…
…10110000110110001001
32020102200012211202121122
421030232232300312021
540324112404000040
61202223020045025
763446060033000
oct11145656606611
92212605752548
10632144203145
112240aaa17144
12a261b993775
13477c3319160
142284b3a3c37
151169bd411b5
hex932ebb0d89

632144203145 has 32 divisors (see below), whose sum is σ = 952682035200. Its totient is φ = 400126426560.

The previous prime is 632144203123. The next prime is 632144203157. The reversal of 632144203145 is 541302441236.

632144203145 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 632144203145 - 26 = 632144203081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14154521 + ... + 14199110.

It is an arithmetic number, because the mean of its divisors is an integer number (29771313600).

Almost surely, 2632144203145 is an apocalyptic number.

632144203145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

632144203145 is a deficient number, since it is larger than the sum of its proper divisors (320537832055).

632144203145 is a wasteful number, since it uses less digits than its factorization.

632144203145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28353670 (or 28353656 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 632144203145 in words is "six hundred thirty-two billion, one hundred forty-four million, two hundred three thousand, one hundred forty-five".

Divisors: 1 5 7 13 35 49 65 91 245 343 455 637 1715 3185 4459 22295 28353631 141768155 198475417 368597203 992377085 1389327919 1842986015 2580180421 6946639595 9725295433 12900902105 18061262947 48626477165 90306314735 126428840629 632144203145