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6064043216 = 2472111096451
BaseRepresentation
bin1011010010111000…
…11111010011010000
3120122121120022110012
411221130133103100
544404343340331
62441421254052
7303162342200
oct55134372320
916577508405
106064043216
112631aa3470
121212a04328
1375843016a
14417520400
1525758882b
hex16971f4d0

6064043216 has 120 divisors (see below), whose sum is σ = 15048902880. Its totient is φ = 2340576000.

The previous prime is 6064043179. The next prime is 6064043291. The reversal of 6064043216 is 6123404606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936791 + ... + 943241.

It is an arithmetic number, because the mean of its divisors is an integer number (125407524).

Almost surely, 26064043216 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 6064043216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524451440).

6064043216 is an abundant number, since it is smaller than the sum of its proper divisors (8984859664).

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

6064043216 is a wasteful number, since it uses less digits than its factorization.

6064043216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 6064043216 is about 77871.9668173342. The cubic root of 6064043216 is about 1823.5629611711.

The spelling of 6064043216 in words is "six billion, sixty-four million, forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 109 112 154 176 196 218 308 392 436 539 616 763 784 872 1078 1199 1232 1526 1744 2156 2398 3052 4312 4796 5341 6104 6451 8393 8624 9592 10682 12208 12902 16786 19184 21364 25804 33572 42728 45157 51608 58751 67144 70961 85456 90314 103216 117502 134288 141922 180628 235004 283844 316099 361256 470008 496727 567688 632198 703159 722512 940016 993454 1135376 1264396 1406318 1986908 2528792 2812636 3477089 3973816 4922113 5057584 5625272 6954178 7734749 7947632 9844226 11250544 13908356 15469498 19688452 27816712 30938996 34454791 39376904 54143243 55633424 61877992 68909582 78753808 108286486 123755984 137819164 216572972 275638328 379002701 433145944 551276656 758005402 866291888 1516010804 3032021608 6064043216