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6484426564 = 22721129372803
BaseRepresentation
bin1100000101000000…
…00111111101000100
3121201220120222222211
412002200013331010
5101240003122224
62551235433204
7316455500500
oct60240077504
917656528884
106484426564
112828320720
12130b755804
137c455a4c5
144572ad300
1527e426894
hex182807f44

6484426564 has 144 divisors (see below), whose sum is σ = 15305129280. Its totient is φ = 2372509440.

The previous prime is 6484426537. The next prime is 6484426567. The reversal of 6484426564 is 4656244846.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (6484426567) by changing a digit.

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, 2311987 + ... + 2314789.

It is an arithmetic number, because the mean of its divisors is an integer number (106285620).

Almost surely, 26484426564 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 6484426564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652564640).

6484426564 is an abundant number, since it is smaller than the sum of its proper divisors (8820702716).

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

6484426564 is a wasteful number, since it uses less digits than its factorization.

6484426564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 49.

The square root of 6484426564 is about 80525.9372128012. The cubic root of 6484426564 is about 1864.7639243382.

The spelling of 6484426564 in words is "six billion, four hundred eighty-four million, four hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 37 44 49 58 74 77 98 116 148 154 196 203 259 308 319 406 407 518 539 638 812 814 1036 1073 1078 1276 1421 1628 1813 2146 2156 2233 2803 2842 2849 3626 4292 4466 5606 5684 5698 7252 7511 8932 11212 11396 11803 15022 15631 19621 19943 23606 30044 30833 31262 39242 39886 47212 52577 61666 62524 78484 79772 81287 82621 103711 105154 123332 137347 162574 165242 207422 210308 215831 274694 325148 330484 414844 431662 549388 569009 578347 725977 863324 894157 1138018 1140821 1156694 1451954 1510817 1788314 2276036 2281642 2313388 2903908 3007619 3021634 3576628 3983063 4563284 5081839 6015238 6043268 6259099 7966126 7985747 10163678 12030476 12518198 15932252 15971494 20327356 21053333 25036396 31942988 33083809 42106666 43813693 55900229 66167618 84213332 87627386 111800458 132335236 147373331 175254772 223600916 231586663 294746662 463173326 589493324 926346652 1621106641 3242213282 6484426564