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6008201472 = 283713217389
BaseRepresentation
bin1011001100001110…
…11110000100000000
3120111201111020222110
411212013132010000
544301044421342
62432104335320
7301613604240
oct54607360400
916451436873
106008201472
112603522769
1211b8174540
137499aab00
1440dd45b20
15252707c9c
hex1661de100

6008201472 has 432 divisors, whose sum is σ = 21006760320. Its totient is φ = 1487536128.

The previous prime is 6008201447. The next prime is 6008201497. The reversal of 6008201472 is 2741028006.

It is an interprime number because it is at equal distance from previous prime (6008201447) and next prime (6008201497).

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 47 ways as a sum of consecutive naturals, for example, 15445054 + ... + 15445442.

It is an arithmetic number, because the mean of its divisors is an integer number (48626760).

Almost surely, 26008201472 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 6008201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503380160).

6008201472 is an abundant number, since it is smaller than the sum of its proper divisors (14998558848).

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

6008201472 is a wasteful number, since it uses less digits than its factorization.

6008201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6008201472 is about 77512.5891194456. The cubic root of 6008201472 is about 1817.9481638556.

Adding to 6008201472 its reverse (2741028006), we get a palindrome (8749229478).

The spelling of 6008201472 in words is "six billion, eight million, two hundred one thousand, four hundred seventy-two".