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4781314944 = 273272711193
BaseRepresentation
bin1000111001111110…
…10001001110000000
3110100012212222001200
410130333101032000
534243004034234
62110240101200
7226325335500
oct43477211600
913305788050
104781314944
112033a2275a
12b15304800
135b2761853
14335017a00
151ceb5ad99
hex11cfd1380

4781314944 has 288 divisors, whose sum is σ = 16244083440. Its totient is φ = 1345720320.

The previous prime is 4781314939. The next prime is 4781314961. The reversal of 4781314944 is 4494131874.

4781314944 is a `hidden beast` number, since 478 + 131 + 4 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4781314944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4007212 + ... + 4008404.

Almost surely, 24781314944 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 4781314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122041720).

4781314944 is an abundant number, since it is smaller than the sum of its proper divisors (11462768496).

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

4781314944 is a wasteful number, since it uses less digits than its factorization.

4781314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1276 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4781314944 is about 69147.0530391571. The cubic root of 4781314944 is about 1684.6736528060.

The spelling of 4781314944 in words is "four billion, seven hundred eighty-one million, three hundred fourteen thousand, nine hundred forty-four".