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2944363968 = 2632713229149
BaseRepresentation
bin1010111101111111…
…0110110111000000
321121012100012001100
42233133312313000
522012224121333
61204055534400
7132651452340
oct25737666700
97535305040
102944363968
111281020257
126a208a400
1337c004a00
141dd082d20
15123754213
hexaf7f6dc0

2944363968 has 504 divisors, whose sum is σ = 10876788000. Its totient is φ = 744726528.

The previous prime is 2944363889. The next prime is 2944363993. The reversal of 2944363968 is 8693634492.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19760758 + ... + 19760906.

Almost surely, 22944363968 is an apocalyptic number.

2944363968 is a gapful number since it is divisible by the number (28) 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 2944363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438394000).

2944363968 is an abundant number, since it is smaller than the sum of its proper divisors (7932424032).

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

2944363968 is a wasteful number, since it uses less digits than its factorization.

2944363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 2944363968 is about 54261.9937709627. The cubic root of 2944363968 is about 1433.2782091414.

The spelling of 2944363968 in words is "two billion, nine hundred forty-four million, three hundred sixty-three thousand, nine hundred sixty-eight".