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428482758690 = 23257811838633
BaseRepresentation
bin1100011110000111001…
…00000000100000100010
31111221222200220102120100
412033003210000200202
524010013041234230
6524501532323230
742646126232550
oct6170344004042
91457880812510
10428482758690
1115579a38a598
126b062013516
13315375855cc
1416a4acdabd0
15b22c21e660
hex63c3900822

428482758690 has 96 divisors (see below), whose sum is σ = 1274777352576. Its totient is φ = 97818036480.

The previous prime is 428482758559. The next prime is 428482758707. The reversal of 428482758690 is 96857284824.

428482758690 is a `hidden beast` number, since 4 + 2 + 8 + 48 + 2 + 7 + 586 + 9 + 0 = 666.

It is a super-2 number, since 2×4284827586902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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, 91614 + ... + 930246.

It is an arithmetic number, because the mean of its divisors is an integer number (13278930756).

Almost surely, 2428482758690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428482758690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637388676288).

428482758690 is an abundant number, since it is smaller than the sum of its proper divisors (846294593886).

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

428482758690 is a wasteful number, since it uses less digits than its factorization.

428482758690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839464 (or 839461 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 428482758690 in words is "four hundred twenty-eight billion, four hundred eighty-two million, seven hundred fifty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 811 1622 2433 4055 4866 5677 7299 8110 11354 12165 14598 17031 24330 28385 34062 36495 51093 56770 72990 85155 102186 170310 255465 510930 838633 1677266 2515899 4193165 5031798 5870431 7547697 8386330 11740862 12579495 15095394 17611293 25158990 29352155 35222586 37738485 52833879 58704310 75476970 88056465 105667758 176112930 264169395 528338790 680131363 1360262726 2040394089 3400656815 4080788178 4760919541 6121182267 6801313630 9521839082 10201970445 12242364534 14282758623 20403940890 23804597705 28565517246 30605911335 42848275869 47609195410 61211822670 71413793115 85696551738 142827586230 214241379345 428482758690