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6001314592 = 257313137307
BaseRepresentation
bin1011001011011010…
…01100101100100000
3120111020112100221211
411211231030230200
544242314031332
62431300555504
7301501222000
oct54555145440
916436470854
106001314592
1125aa649529
1211b59b2b94
13748439230
1440d072000
15251ce7447
hex165b4cb20

6001314592 has 192 divisors, whose sum is σ = 14995411200. Its totient is φ = 2349139968.

The previous prime is 6001314587. The next prime is 6001314593. The reversal of 6001314592 is 2954131006.

It is not an unprimeable number, because it can be changed into a prime (6001314593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19548103 + ... + 19548409.

It is an arithmetic number, because the mean of its divisors is an integer number (78101100).

Almost surely, 26001314592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001314592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497705600).

6001314592 is an abundant number, since it is smaller than the sum of its proper divisors (8994096608).

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

6001314592 is a wasteful number, since it uses less digits than its factorization.

6001314592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 6001314592 is about 77468.1521142721. The cubic root of 6001314592 is about 1817.2532927075.

Adding to 6001314592 its reverse (2954131006), we get a palindrome (8955445598).

The spelling of 6001314592 in words is "six billion, one million, three hundred fourteen thousand, five hundred ninety-two".