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4969946592 = 2533132101337
BaseRepresentation
bin1001010000011101…
…10101110111100000
3110211100211110001000
410220032311313200
540134301242332
62141055112000
7234105564132
oct45016656740
913740743030
104969946592
112120450486
12b68512600
13612868500
143520bb052
151e14bbb7c
hex1283b5de0

4969946592 has 288 divisors, whose sum is σ = 15898952160. Its totient is φ = 1509580800.

The previous prime is 4969946591. The next prime is 4969946599. The reversal of 4969946592 is 2956499694.

4969946592 is a `hidden beast` number, since 496 + 9 + 94 + 6 + 59 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4969946591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14747448 + ... + 14747784.

It is an arithmetic number, because the mean of its divisors is an integer number (55204695).

Almost surely, 24969946592 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 4969946592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949476080).

4969946592 is an abundant number, since it is smaller than the sum of its proper divisors (10929005568).

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

4969946592 is a wasteful number, since it uses less digits than its factorization.

4969946592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 456 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The square root of 4969946592 is about 70497.8481373722. The cubic root of 4969946592 is about 1706.5430190639.

The spelling of 4969946592 in words is "four billion, nine hundred sixty-nine million, nine hundred forty-six thousand, five hundred ninety-two".