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4730886144 = 211324347127
BaseRepresentation
bin1000110011111101…
…11001100000000000
3110012200222220202100
410121332321200000
534142101324034
62101235150400
7225143603655
oct43176714000
913180886670
104730886144
112008509866
12b00445400
135a518621a
1432c44bc2c
151ca4e9099
hex119fb9800

4730886144 has 288 divisors, whose sum is σ = 14391336960. Its totient is φ = 1495646208.

The previous prime is 4730886143. The next prime is 4730886221. The reversal of 4730886144 is 4416880374.

4730886144 is a `hidden beast` number, since 473 + 0 + 88 + 61 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4730886144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4730886143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37251009 + ... + 37251135.

It is an arithmetic number, because the mean of its divisors is an integer number (49969920).

Almost surely, 24730886144 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 4730886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195668480).

4730886144 is an abundant number, since it is smaller than the sum of its proper divisors (9660450816).

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

4730886144 is a wasteful number, since it uses less digits than its factorization.

4730886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4730886144 is about 68781.4374958826. The cubic root of 4730886144 is about 1678.7299244219.

The spelling of 4730886144 in words is "four billion, seven hundred thirty million, eight hundred eighty-six thousand, one hundred forty-four".