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4494656656 = 247176138699
BaseRepresentation
bin1000010111110011…
…10000010010010000
3102121020111012211001
410023321300102100
533201113003111
62022000031344
7216244644160
oct41371602220
912536435731
104494656656
1119a7131086
12a55302554
13568255669
14308d185a0
151b48d51c1
hex10be70490

4494656656 has 80 divisors (see below), whose sum is σ = 10710921600. Its totient is φ = 1783203840.

The previous prime is 4494656623. The next prime is 4494656689. The reversal of 4494656656 is 6566564944.

It is an interprime number because it is at equal distance from previous prime (4494656623) and next prime (4494656689).

It is a junction number, because it is equal to n+sod(n) for n = 4494656597 and 4494656606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96795 + ... + 135493.

It is an arithmetic number, because the mean of its divisors is an integer number (133886520).

Almost surely, 24494656656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4494656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355460800).

4494656656 is an abundant number, since it is smaller than the sum of its proper divisors (6216264944).

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

4494656656 is a wasteful number, since it uses less digits than its factorization.

4494656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38792 (or 38786 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 55.

The square root of 4494656656 is about 67042.2005605425. The cubic root of 4494656656 is about 1650.3099088528.

The spelling of 4494656656 in words is "four billion, four hundred ninety-four million, six hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 112 119 122 136 238 244 272 427 476 488 854 952 976 1037 1708 1904 2074 3416 4148 6832 7259 8296 14518 16592 29036 38699 58072 77398 116144 154796 270893 309592 541786 619184 657883 1083572 1315766 2167144 2360639 2631532 4334288 4605181 4721278 5263064 9210362 9442556 10526128 16524473 18420724 18885112 33048946 36841448 37770224 40130863 66097892 73682896 80261726 132195784 160523452 264391568 280916041 321046904 561832082 642093808 1123664164 2247328328 4494656656