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7001229312 = 211327114933
BaseRepresentation
bin1101000010100111…
…00100100000000000
3200001221001022002100
412201103210200000
5103314303314222
63114420350400
7335332316160
oct64123444000
920057038070
107001229312
112a73014230
121434845400
1387764664c
144a5b9a5a0
152ae9ad4ac
hex1a14e4800

7001229312 has 288 divisors, whose sum is σ = 25215503040. Its totient is φ = 1818132480.

The previous prime is 7001229299. The next prime is 7001229337. The reversal of 7001229312 is 2139221007.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416798 + ... + 1421730.

It is an arithmetic number, because the mean of its divisors is an integer number (87553830).

Almost surely, 27001229312 is an apocalyptic number.

7001229312 is a gapful number since it is divisible by the number (72) 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 7001229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607751520).

7001229312 is an abundant number, since it is smaller than the sum of its proper divisors (18214273728).

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

7001229312 is a wasteful number, since it uses less digits than its factorization.

7001229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7001229312 is about 83673.3488752542. The cubic root of 7001229312 is about 1913.0431566587.

The spelling of 7001229312 in words is "seven billion, one million, two hundred twenty-nine thousand, three hundred twelve".