Search a number
-
+
320428463488 = 2773144326041
BaseRepresentation
bin1001010100110110000…
…01100101010110000000
31010122002012200111101221
410222123001211112000
520222214141312423
6403111450004424
732102342000050
oct4523301452600
91118065614357
10320428463488
11113990572281
1252126a16714
13242a7202623
141171a2bb560
158505d61e5d
hex4a9b065580

320428463488 has 128 divisors (see below), whose sum is σ = 754809661440. Its totient is φ = 132591513600.

The previous prime is 320428463479. The next prime is 320428463489. The reversal of 320428463488 is 884364824023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3204284634882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320428463489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12291748 + ... + 12317788.

It is an arithmetic number, because the mean of its divisors is an integer number (5896950480).

Almost surely, 2320428463488 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 320428463488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377404830720).

320428463488 is an abundant number, since it is smaller than the sum of its proper divisors (434381197952).

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

320428463488 is a wasteful number, since it uses less digits than its factorization.

320428463488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26536 (or 26524 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 52.

The spelling of 320428463488 in words is "three hundred twenty billion, four hundred twenty-eight million, four hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 443 448 496 868 886 896 992 1736 1772 1984 3101 3472 3544 3968 6202 6944 7088 12404 13733 13888 14176 24808 26041 27466 27776 28352 49616 52082 54932 56704 96131 99232 104164 109864 182287 192262 198464 208328 219728 364574 384524 396928 416656 439456 729148 769048 807271 833312 878912 1458296 1538096 1614542 1666624 1757824 2916592 3076192 3229084 3333248 5650897 5833184 6152384 6458168 11301794 11536163 11666368 12304768 12916336 22603588 23072326 23332736 25832672 45207176 46144652 51665344 80753141 90414352 92289304 103330688 161506282 180828704 184578608 323012564 357621053 361657408 369157216 646025128 715242106 723314816 738314432 1292050256 1430484212 1476628864 2503347371 2584100512 2860968424 5006694742 5168201024 5721936848 10013389484 10336402048 11443873696 20026778968 22887747392 40053557936 45775494784 80107115872 160214231744 320428463488