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2991075264 = 263237293479
BaseRepresentation
bin1011001001001000…
…0010111111000000
321201110020100220100
42302102002333000
522111203402024
61212445042400
7134056502022
oct26222027700
97643210810
102991075264
1112a5425131
126b5856400
133888ab228
14205362012
151278ce7c9
hexb2482fc0

2991075264 has 168 divisors, whose sum is σ = 8853586560. Its totient is φ = 964749312.

The previous prime is 2991075229. The next prime is 2991075277. The reversal of 2991075264 is 4625701992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6244177 + ... + 6244655.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 22991075264 is an apocalyptic number.

2991075264 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 2991075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426793280).

2991075264 is an abundant number, since it is smaller than the sum of its proper divisors (5862511296).

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

2991075264 is a wasteful number, since it uses less digits than its factorization.

2991075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2991075264 is about 54690.7237472681. The cubic root of 2991075264 is about 1440.8179612126.

The spelling of 2991075264 in words is "two billion, nine hundred ninety-one million, seventy-five thousand, two hundred sixty-four".