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2992882662 = 2337211312107
BaseRepresentation
bin1011001001100011…
…1100001111100110
321201120122012012000
42302120330033212
522112134221122
61212551510130
7134111040300
oct26230741746
97646565160
102992882662
1112a644a050
126b6388346
13389091ab3
142056b2970
15127b3a0ac
hexb263c3e6

2992882662 has 288 divisors, whose sum is σ = 8802587520. Its totient is φ = 745264800.

The previous prime is 2992882661. The next prime is 2992882663. The reversal of 2992882662 is 2662882992.

It is an interprime number because it is at equal distance from previous prime (2992882661) and next prime (2992882663).

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

It is a junction number, because it is equal to n+sod(n) for n = 2992882599 and 2992882608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992882661) 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 143 ways as a sum of consecutive naturals, for example, 27970813 + ... + 27970919.

It is an arithmetic number, because the mean of its divisors is an integer number (30564540).

Almost surely, 22992882662 is an apocalyptic number.

2992882662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992882662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401293760).

2992882662 is an abundant number, since it is smaller than the sum of its proper divisors (5809704858).

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

2992882662 is a wasteful number, since it uses less digits than its factorization.

2992882662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 161 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2992882662 is about 54707.2450594983. The cubic root of 2992882662 is about 1441.1081140752.

The spelling of 2992882662 in words is "two billion, nine hundred ninety-two million, eight hundred eighty-two thousand, six hundred sixty-two".