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641428956 = 223472771021
BaseRepresentation
bin100110001110110…
…110110111011100
31122200221222010000
4212032312313130
52303201211311
6143352014300
721616025160
oct4616666734
91580858100
10641428956
112aa085083
1215a991390
13a2b7297c
146128cca0
153b4a3056
hex263b6ddc

641428956 has 120 divisors (see below), whose sum is σ = 1925170016. Its totient is φ = 182424960.

The previous prime is 641428937. The next prime is 641428973. The reversal of 641428956 is 659824146.

It is a super-2 number, since 2×6414289562 = 822862211190499872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 627726 + ... + 628746.

Almost surely, 2641428956 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 641428956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962585008).

641428956 is an abundant number, since it is smaller than the sum of its proper divisors (1283741060).

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

641428956 is a wasteful number, since it uses less digits than its factorization.

641428956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 641428956 is about 25326.4477572359. The cubic root of 641428956 is about 862.4147726750.

The spelling of 641428956 in words is "six hundred forty-one million, four hundred twenty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 277 324 378 554 567 756 831 1021 1108 1134 1662 1939 2042 2268 2493 3063 3324 3878 4084 4986 5817 6126 7147 7479 7756 9189 9972 11634 12252 14294 14958 17451 18378 21441 22437 23268 27567 28588 29916 34902 36756 42882 44874 52353 55134 64323 69804 82701 85764 89748 104706 110268 128646 157059 165402 192969 209412 257292 282817 314118 330804 385938 565634 578907 628236 771876 848451 1131268 1157814 1696902 1979719 2315628 2545353 3393804 3959438 5090706 5939157 7636059 7918876 10181412 11878314 15272118 17817471 22908177 23756628 30544236 35634942 45816354 53452413 71269884 91632708 106904826 160357239 213809652 320714478 641428956