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6004064192 = 267127105527
BaseRepresentation
bin1011001011101111…
…01011111111000000
3120111102201001200212
411211313223333000
544244020023232
62431435533252
7301533463220
oct54567537700
916442631625
106004064192
112601157325
1211b68ba228
13748b8c909
1440d58a080
1525218beb2
hex165debfc0

6004064192 has 56 divisors (see below), whose sum is σ = 13723705344. Its totient is φ = 2552884992.

The previous prime is 6004064191. The next prime is 6004064207. The reversal of 6004064192 is 2914604006.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×60040641922 = 72097573643313225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004064191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4133 + ... + 109659.

Almost surely, 26004064192 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 6004064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861852672).

6004064192 is an abundant number, since it is smaller than the sum of its proper divisors (7719641152).

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

6004064192 is a wasteful number, since it uses less digits than its factorization.

6004064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105673 (or 105663 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 6004064192 is about 77485.8967296630. The cubic root of 6004064192 is about 1817.5307850614.

Adding to 6004064192 its reverse (2914604006), we get a palindrome (8918668198).

The spelling of 6004064192 in words is "six billion, four million, sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 224 254 448 508 889 1016 1778 2032 3556 4064 7112 8128 14224 28448 56896 105527 211054 422108 738689 844216 1477378 1688432 2954756 3376864 5909512 6753728 11819024 13401929 23638048 26803858 47276096 53607716 93813503 107215432 187627006 214430864 375254012 428861728 750508024 857723456 1501016048 3002032096 6004064192