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2991701440 = 265713711447
BaseRepresentation
bin1011001001010001…
…1011110111000000
321201111102011212001
42302110123313000
522111333421230
61212510313344
7134065020430
oct26224336700
97644364761
102991701440
1112a5812632
126b5ab8854
13388a6a250
142054862c0
151279a50ca
hexb251bdc0

2991701440 has 224 divisors, whose sum is σ = 8897624064. Its totient is φ = 932843520.

The previous prime is 2991701437. The next prime is 2991701443. The reversal of 2991701440 is 441071992.

It is an interprime number because it is at equal distance from previous prime (2991701437) and next prime (2991701443).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2991701440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991701443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066797 + ... + 2068243.

It is an arithmetic number, because the mean of its divisors is an integer number (39721536).

Almost surely, 22991701440 is an apocalyptic number.

2991701440 is a gapful number since it is divisible by the number (20) 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 2991701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448812032).

2991701440 is an abundant number, since it is smaller than the sum of its proper divisors (5905922624).

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

2991701440 is a wasteful number, since it uses less digits than its factorization.

2991701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 2991701440 is about 54696.4481479374. The cubic root of 2991701440 is about 1440.9184983770.

The spelling of 2991701440 in words is "two billion, nine hundred ninety-one million, seven hundred one thousand, four hundred forty".