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2991320640 = 2632572114147
BaseRepresentation
bin1011001001001011…
…1110111001000000
321201110200211111100
42302102332321000
522111234230030
61212454214400
7134061543300
oct26222767100
97643624440
102991320640
1112a5582520
126b5954400
13388965b19
142053c7600
1512792c360
hexb24bee40

2991320640 has 1008 divisors, whose sum is σ = 13659819264. Its totient is φ = 593510400.

The previous prime is 2991320627. The next prime is 2991320653. The reversal of 2991320640 is 460231992.

2991320640 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 3 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2991320627) and next prime (2991320653).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2991320595 and 2991320604.

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, 63645097 + ... + 63645143.

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

Almost surely, 22991320640 is an apocalyptic number.

2991320640 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 2991320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829909632).

2991320640 is an abundant number, since it is smaller than the sum of its proper divisors (10668498624).

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

2991320640 is a wasteful number, since it uses less digits than its factorization.

2991320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2991320640 is about 54692.9670067368. The cubic root of 2991320640 is about 1440.8573598067.

The spelling of 2991320640 in words is "two billion, nine hundred ninety-one million, three hundred twenty thousand, six hundred forty".