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2995836480 = 2632572132371
BaseRepresentation
bin1011001010010000…
…1101011001000000
321201210012021001200
42302210031121000
522113413231410
61213135101200
7134145122100
oct26244153100
97653167050
102995836480
1112a808731a
126b7371800
13389887410
14205c41200
151280203c0
hexb290d640

2995836480 has 1008 divisors, whose sum is σ = 13659819264. Its totient is φ = 596090880.

The previous prime is 2995836479. The next prime is 2995836491. The reversal of 2995836480 is 846385992.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42194845 + ... + 42194915.

It is an arithmetic number, because the mean of its divisors is an integer number (13551408).

Almost surely, 22995836480 is an apocalyptic number.

2995836480 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 2995836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829909632).

2995836480 is an abundant number, since it is smaller than the sum of its proper divisors (10663982784).

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

2995836480 is a wasteful number, since it uses less digits than its factorization.

2995836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2995836480 is about 54734.2349905432. The cubic root of 2995836480 is about 1441.5820575306.

The spelling of 2995836480 in words is "two billion, nine hundred ninety-five million, eight hundred thirty-six thousand, four hundred eighty".