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4164505340 = 2251321157627
BaseRepresentation
bin1111100000111001…
…0100111011111100
3101202020020210100112
43320032110323330
532012103132330
61525123445152
7205125465662
oct37016247374
911666223315
104164505340
111847833556
129828267b8
13514a2ba58
142b7136c32
1519591c795
hexf8394efc

4164505340 has 24 divisors (see below), whose sum is σ = 8752137072. Its totient is φ = 1664530560.

The previous prime is 4164505333. The next prime is 4164505343. The reversal of 4164505340 is 435054614.

It is a junction number, because it is equal to n+sod(n) for n = 4164505297 and 4164505306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164505343) 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, 52394 + ... + 105233.

It is an arithmetic number, because the mean of its divisors is an integer number (364672378).

Almost surely, 24164505340 is an apocalyptic number.

It is an amenable number.

4164505340 is an abundant number, since it is smaller than the sum of its proper divisors (4587631732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4164505340 is a wasteful number, since it uses less digits than its factorization.

4164505340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158957 (or 158955 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 4164505340 is about 64532.9787008162. The cubic root of 4164505340 is about 1608.8706944938.

Adding to 4164505340 its reverse (435054614), we get a palindrome (4599559954).

The spelling of 4164505340 in words is "four billion, one hundred sixty-four million, five hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1321 2642 5284 6605 13210 26420 157627 315254 630508 788135 1576270 3152540 208225267 416450534 832901068 1041126335 2082252670 4164505340