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4961782368 = 253217228411
BaseRepresentation
bin1001001111011111…
…01100101001100000
3110210210110122211100
410213233230221200
540130204013433
62140204114400
7233646311544
oct44757545140
913723418740
104961782368
112116884594
12b65835a00
13610c6a3ca
14350d93a24
151e0907b13
hex127beca60

4961782368 has 36 divisors (see below), whose sum is σ = 14110069428. Its totient is φ = 1653927360.

The previous prime is 4961782337. The next prime is 4961782369. The reversal of 4961782368 is 8632871694.

4961782368 is a `hidden beast` number, since 496 + 1 + 78 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961782369) 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 5 ways as a sum of consecutive naturals, for example, 8613918 + ... + 8614493.

It is an arithmetic number, because the mean of its divisors is an integer number (391946373).

Almost surely, 24961782368 is an apocalyptic number.

4961782368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4961782368 is an abundant number, since it is smaller than the sum of its proper divisors (9148287060).

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

4961782368 is a wasteful number, since it uses less digits than its factorization.

4961782368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17228427 (or 17228416 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4961782368 is about 70439.9202725273. The cubic root of 4961782368 is about 1705.6080502268.

The spelling of 4961782368 in words is "four billion, nine hundred sixty-one million, seven hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17228411 34456822 51685233 68913644 103370466 137827288 155055699 206740932 275654576 310111398 413481864 551309152 620222796 826963728 1240445592 1653927456 2480891184 4961782368