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4634520064 = 2925735221
BaseRepresentation
bin1000101000011110…
…10010101000000000
3102221222200000100021
410110033102220000
533442414120224
62043513503224
7222563525206
oct42417225000
912858600307
104634520064
111a6907a579
12a94111b14
1358b215785
1431d725076
151c1d111e4
hex1143d2a00

4634520064 has 40 divisors (see below), whose sum is σ = 9296283348. Its totient is φ = 2308177920.

The previous prime is 4634520043. The next prime is 4634520067. The reversal of 4634520064 is 4600254364.

It can be written as a sum of positive squares in 2 ways, for example, as 3202654464 + 1431865600 = 56592^2 + 37840^2 .

It is not an unprimeable number, because it can be changed into a prime (4634520067) 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 3 ways as a sum of consecutive naturals, for example, 113974 + ... + 149194.

Almost surely, 24634520064 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 4634520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648141674).

4634520064 is an abundant number, since it is smaller than the sum of its proper divisors (4661763284).

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

4634520064 is an equidigital number, since it uses as much as digits as its factorization.

4634520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35496 (or 35480 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 4634520064 is about 68077.3094650486. The cubic root of 4634520064 is about 1667.2533122750.

The spelling of 4634520064 in words is "four billion, six hundred thirty-four million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1028 2056 4112 8224 16448 32896 35221 65792 70442 131584 140884 281768 563536 1127072 2254144 4508288 9016576 9051797 18033152 18103594 36207188 72414376 144828752 289657504 579315008 1158630016 2317260032 4634520064