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2992099824 = 243571729223
BaseRepresentation
bin1011001001010111…
…1101000111110000
321201112011102100000
42302111331013300
522111434143244
61212523030000
7134101300050
oct26225750760
97645142300
102992099824
1112a5a6497a
126b606b300
13388b7968c
1420554b560
15127a33169
hexb257d1f0

2992099824 has 480 divisors, whose sum is σ = 10919301120. Its totient is φ = 773369856.

The previous prime is 2992099823. The next prime is 2992099897. The reversal of 2992099824 is 4289902992.

It is a super-2 number, since 2×29920998242 = 17905322713561661952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992099823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13417377 + ... + 13417599.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 22992099824 is an apocalyptic number.

2992099824 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 2992099824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459650560).

2992099824 is an abundant number, since it is smaller than the sum of its proper divisors (7927201296).

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

2992099824 is a wasteful number, since it uses less digits than its factorization.

2992099824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2992099824 is about 54700.0897988294. The cubic root of 2992099824 is about 1440.9824545580.

The spelling of 2992099824 in words is "two billion, nine hundred ninety-two million, ninety-nine thousand, eight hundred twenty-four".