Search a number
-
+
4689045504 = 211331113593
BaseRepresentation
bin1000101110111110…
…10010100000000000
3110002210021012012000
410113133102200000
534100343424004
62053142304000
7224125141413
oct42737224000
913083235160
104689045504
111a96931320
12aaa428000
135995c6950
14326a79b7a
151c69d1c39
hex1177d2800

4689045504 has 384 divisors, whose sum is σ = 16345929600. Its totient is φ = 1309409280.

The previous prime is 4689045497. The next prime is 4689045527. The reversal of 4689045504 is 4055409864.

4689045504 is a `hidden beast` number, since 4 + 6 + 8 + 90 + 4 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×46890455042 = 43974295477165228032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4689045504.

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 31 ways as a sum of consecutive naturals, for example, 7907032 + ... + 7907624.

It is an arithmetic number, because the mean of its divisors is an integer number (42567525).

Almost surely, 24689045504 is an apocalyptic number.

4689045504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172964800).

4689045504 is an abundant number, since it is smaller than the sum of its proper divisors (11656884096).

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

4689045504 is a wasteful number, since it uses less digits than its factorization.

4689045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4689045504 is about 68476.6055233464. The cubic root of 4689045504 is about 1673.7662858928.

The spelling of 4689045504 in words is "four billion, six hundred eighty-nine million, forty-five thousand, five hundred four".