Search a number
-
+
4663496704 = 2121398191
BaseRepresentation
bin1000101011111011…
…10101000000000000
3110001000012011211011
410111331311000000
534022323343304
62050430530304
7223365032206
oct42575650000
913030164734
104663496704
111a83471109
12aa1966994
1359421ca09
14323509076
151c4636c04
hex115f75000

4663496704 has 52 divisors (see below), whose sum is σ = 9394094080. Its totient is φ = 2314690560.

The previous prime is 4663496623. The next prime is 4663496707. The reversal of 4663496704 is 4076943664.

4663496704 is an admirable number.

It is a super-4 number, since 4×46634967044 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663496707) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 565249 + ... + 573439.

Almost surely, 24663496704 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 4663496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697047040).

4663496704 is an abundant number, since it is smaller than the sum of its proper divisors (4730597376).

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

4663496704 is an equidigital number, since it uses as much as digits as its factorization.

4663496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

The square root of 4663496704 is about 68289.7994139681. The cubic root of 4663496704 is about 1670.7208457739.

The spelling of 4663496704 in words is "four billion, six hundred sixty-three million, four hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2048 2224 4096 4448 8191 8896 16382 17792 32764 35584 65528 71168 131056 142336 262112 284672 524224 569344 1048448 1138549 2096896 2277098 4193792 4554196 8387584 9108392 16775168 18216784 33550336 36433568 72867136 145734272 291468544 582937088 1165874176 2331748352 4663496704