Search a number
-
+
4964732636224 = 2619210721372
BaseRepresentation
bin100100000111111000100…
…1000000000110001000000
3122120121211202100102022211
41020033301020000301000
51122320233023324344
614320433334311504
71021455463054444
oct110176110006100
918517752312284
104964732636224
111644593163129
12682246ab8594
132a023165b68a
14132419960824
158922647c334
hex483f1200c40

4964732636224 has 189 divisors, whose sum is σ = 10572956225013. Its totient is φ = 2312731431936.

The previous prime is 4964732636189. The next prime is 4964732636239. The reversal of 4964732636224 is 4226362374694.

The square root of 4964732636224 is 2228168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2916307598400 + 2048425037824 = 1707720^2 + 1431232^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 36238924284 + ... + 36238924420.

Almost surely, 24964732636224 is an apocalyptic number.

4964732636224 is the 2228168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964732636224

4964732636224 is an abundant number, since it is smaller than the sum of its proper divisors (5608223588789).

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

4964732636224 is an equidigital number, since it uses as much as digits as its factorization.

4964732636224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 265 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 58.

The spelling of 4964732636224 in words is "four trillion, nine hundred sixty-four billion, seven hundred thirty-two million, six hundred thirty-six thousand, two hundred twenty-four".