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428460624020 = 2251113881170047
BaseRepresentation
bin1100011110000100011…
…11100100100010010100
31111221221011020212111202
412033002033210202110
524004441404432040
6524455422052032
742645440133152
oct6170217444224
91457834225452
10428460624020
11155788941480
126b05671a018
1331532b05680
1416a47db83d2
15b22a2eb015
hex63c23e4894

428460624020 has 96 divisors (see below), whose sum is σ = 1058275362816. Its totient is φ = 143654860800.

The previous prime is 428460624013. The next prime is 428460624073. The reversal of 428460624020 is 20426064824.

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 31 ways as a sum of consecutive naturals, for example, 2434637 + ... + 2604683.

It is an arithmetic number, because the mean of its divisors is an integer number (11023701696).

Almost surely, 2428460624020 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 428460624020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529137681408).

428460624020 is an abundant number, since it is smaller than the sum of its proper divisors (629814738796).

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

428460624020 is a wasteful number, since it uses less digits than its factorization.

428460624020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170961 (or 170959 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 428460624020 its reverse (20426064824), we get a palindrome (448886688844).

The spelling of 428460624020 in words is "four hundred twenty-eight billion, four hundred sixty million, six hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 881 1430 1762 2860 3524 4405 8810 9691 11453 17620 19382 22906 38764 45812 48455 57265 96910 114530 125983 170047 193820 229060 251966 340094 503932 629915 680188 850235 1259830 1700470 1870517 2210611 2519660 3400940 3741034 4421222 7482068 8842444 9352585 11053055 18705170 22106110 24316721 37410340 44212220 48633442 97266884 121583605 149811407 243167210 299622814 486334420 599245628 749057035 1498114070 1647925477 1947548291 2996228140 3295850954 3895096582 6591701908 7790193164 8239627385 9737741455 16479254770 19475482910 21423031201 32958509540 38950965820 42846062402 85692124804 107115156005 214230312010 428460624020