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6228041664 = 2631317146777
BaseRepresentation
bin1011100110011100…
…00101111111000000
3121002001011022000210
411303032011333000
5100223334313124
62510000314120
7310223323605
oct56316057700
917061138023
106228041664
112706626979
121259912940
137833c0870
144312106ac
15266b80a29
hex173385fc0

6228041664 has 112 divisors (see below), whose sum is σ = 18789932448. Its totient is φ = 1803583488.

The previous prime is 6228041663. The next prime is 6228041707. The reversal of 6228041664 is 4661408226.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6228041663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30957 + ... + 115820.

It is an arithmetic number, because the mean of its divisors is an integer number (167767254).

Almost surely, 26228041664 is an apocalyptic number.

6228041664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6228041664 is an abundant number, since it is smaller than the sum of its proper divisors (12561890784).

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

6228041664 is a wasteful number, since it uses less digits than its factorization.

6228041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146822 (or 146812 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6228041664 is about 78917.9425986258. The cubic root of 6228041664 is about 1839.8560126773.

The spelling of 6228041664 in words is "six billion, two hundred twenty-eight million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432 146777 293554 440331 587108 880662 1174216 1761324 1908101 2348432 2495209 3522648 3816202 4696864 4990418 5724303 7045296 7485627 7632404 9393728 9980836 11448606 14090592 14971254 15264808 19961672 22897212 28181184 29942508 30529616 32437717 39923344 45794424 59885016 61059232 64875434 79846688 91588848 97313151 119770032 122118464 129750868 159693376 183177696 194626302 239540064 259501736 366355392 389252604 479080128 519003472 778505208 1038006944 1557010416 2076013888 3114020832 6228041664