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428278682288 = 241724133719387
BaseRepresentation
bin1100011101101110110…
…01100001001010110000
31111221110110220021101002
412032313121201022300
524004103320313123
6524425402301132
742641100506612
oct6166731411260
91457413807332
10428278682288
111556a5172a06
126b0057b77a8
1331504201a42
1416a2bb76db2
15b21935c528
hex63b76612b0

428278682288 has 80 divisors (see below), whose sum is σ = 884910353184. Its totient is φ = 200100741120.

The previous prime is 428278682287. The next prime is 428278682309. The reversal of 428278682288 is 882286872824.

It is not an unprimeable number, because it can be changed into a prime (428278682281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22081331 + ... + 22100717.

Almost surely, 2428278682288 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 428278682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442455176592).

428278682288 is an abundant number, since it is smaller than the sum of its proper divisors (456631670896).

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

428278682288 is a wasteful number, since it uses less digits than its factorization.

428278682288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19990 (or 19984 counting only the distinct ones).

The product of its digits is 88080384, while the sum is 65.

The spelling of 428278682288 in words is "four hundred twenty-eight billion, two hundred seventy-eight million, six hundred eighty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 241 272 337 482 674 964 1348 1928 2696 3856 4097 5392 5729 8194 11458 16388 19387 22916 32776 38774 45832 65552 77548 81217 91664 155096 162434 310192 324868 329579 649736 659158 1299472 1318316 1380689 2636632 2761378 4672267 5273264 5522756 6533419 9344534 11045512 13066838 18689068 22091024 26133676 37378136 52267352 74756272 79428539 104534704 111068123 158857078 222136246 317714156 444272492 635428312 888544984 1270856624 1574553979 1777089968 3149107958 6298215916 12596431832 25192863664 26767417643 53534835286 107069670572 214139341144 428278682288