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2993183424 = 2632721131311
BaseRepresentation
bin1011001001101000…
…0101101011000000
321201121012110202100
42302122011223000
522112223332144
61213002150400
7134113432200
oct26232055300
97647173670
102993183424
1112a6635010
126b64b2400
1338916896a
14205750400
15127b99269
hexb2685ac0

2993183424 has 504 divisors, whose sum is σ = 11274771456. Its totient is φ = 749952000.

The previous prime is 2993183419. The next prime is 2993183471. The reversal of 2993183424 is 4243813992.

2993183424 is a `hidden beast` number, since 299 + 3 + 18 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 2993183424.

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 71 ways as a sum of consecutive naturals, for example, 9624229 + ... + 9624539.

Almost surely, 22993183424 is an apocalyptic number.

2993183424 is a gapful number since it is divisible by the number (24) 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 2993183424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637385728).

2993183424 is an abundant number, since it is smaller than the sum of its proper divisors (8281588032).

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

2993183424 is a wasteful number, since it uses less digits than its factorization.

2993183424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2993183424 is about 54709.9938219700. The cubic root of 2993183424 is about 1441.1563859354.

The spelling of 2993183424 in words is "two billion, nine hundred ninety-three million, one hundred eighty-three thousand, four hundred twenty-four".