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4664370384 = 243289363949
BaseRepresentation
bin1000101100000010…
…01010010011010000
3110001001211120021200
410112001022103100
534023034323014
62050501351200
7223405331322
oct42601122320
913031746250
104664370384
111a83a08563
12aa2108500
1359446759b
14323695612
151c475aa09
hex11604a4d0

4664370384 has 60 divisors (see below), whose sum is σ = 13200466500. Its totient is φ = 1537316352.

The previous prime is 4664370383. The next prime is 4664370397. The reversal of 4664370384 is 4830734664.

4664370384 is a `hidden beast` number, since 466 + 43 + 70 + 3 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278222400 + 4386147984 = 16680^2 + 66228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664370383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169159 + ... + 194790.

It is an arithmetic number, because the mean of its divisors is an integer number (220007775).

Almost surely, 24664370384 is an apocalyptic number.

It is an amenable number.

4664370384 is an abundant number, since it is smaller than the sum of its proper divisors (8536096116).

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

4664370384 is a wasteful number, since it uses less digits than its factorization.

4664370384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364052 (or 364043 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4664370384 is about 68296.1959702003. The cubic root of 4664370384 is about 1670.8251726582.

The spelling of 4664370384 in words is "four billion, six hundred sixty-four million, three hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 363949 727898 1091847 1455796 2183694 2911592 3275541 4367388 5823184 6551082 8734776 13102164 17469552 26204328 32391461 52408656 64782922 97174383 129565844 194348766 259131688 291523149 388697532 518263376 583046298 777395064 1166092596 1554790128 2332185192 4664370384