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4640681844 = 2232530924281
BaseRepresentation
bin1000101001001101…
…10010111101110100
3102222102021001201100
410110212302331310
534001003304334
62044253530100
7223000100451
oct42446627564
912872231640
104640681844
111a715a8a57
12a961a3930
1358c5922b6
1432048a828
151c262bc99
hex1149b2f74

4640681844 has 36 divisors (see below), whose sum is σ = 11733305220. Its totient is φ = 1546538880.

The previous prime is 4640681783. The next prime is 4640681849. The reversal of 4640681844 is 4481860464.

4640681844 is a `hidden beast` number, since 464 + 0 + 6 + 8 + 184 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1979360100 + 2661321744 = 44490^2 + 51588^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4640681844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640681849) 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 11 ways as a sum of consecutive naturals, for example, 178984 + ... + 203264.

It is an arithmetic number, because the mean of its divisors is an integer number (325925145).

Almost surely, 24640681844 is an apocalyptic number.

It is an amenable number.

4640681844 is an abundant number, since it is smaller than the sum of its proper divisors (7092623376).

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

4640681844 is a wasteful number, since it uses less digits than its factorization.

4640681844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29600 (or 29595 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4640681844 is about 68122.5501871443. The cubic root of 4640681844 is about 1667.9918784001.

The spelling of 4640681844 in words is "four billion, six hundred forty million, six hundred eighty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5309 10618 15927 21236 24281 31854 47781 48562 63708 72843 95562 97124 145686 191124 218529 291372 437058 874116 128907829 257815658 386723487 515631316 773446974 1160170461 1546893948 2320340922 4640681844