Search a number
-
+
11034754487244 = 223217231623148299
BaseRepresentation
bin1010000010010011101010…
…0111110001001111001100
31110001220122000100120001200
42200210322213301033030
52421243134122042434
635245143552505500
72216143334354115
oct240447247611714
943056560316050
1011034754487244
1135748a4261644
1212a2738b4b290
1362075a8168c7
142a212921320c
1514208c8e0199
hexa093a9f13cc

11034754487244 has 144 divisors (see below), whose sum is σ = 30820828147200. Its totient is φ = 3311094504960.

The previous prime is 11034754487219. The next prime is 11034754487257. The reversal of 11034754487244 is 44278445743011.

11034754487244 is a `hidden beast` number, since 1 + 1 + 0 + 347 + 54 + 4 + 8 + 7 + 244 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228443407 + ... + 228491705.

It is an arithmetic number, because the mean of its divisors is an integer number (214033528800).

Almost surely, 211034754487244 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 11034754487244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410414073600).

11034754487244 is an abundant number, since it is smaller than the sum of its proper divisors (19786073659956).

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

11034754487244 is a wasteful number, since it uses less digits than its factorization.

11034754487244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64580 (or 64575 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 11034754487244 in words is "eleven trillion, thirty-four billion, seven hundred fifty-four million, four hundred eighty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 16231 32462 48299 48693 64924 96598 97386 144897 146079 193196 194772 275927 289794 292158 373313 434691 551854 579588 584316 746626 821083 827781 869382 1103708 1110877 1119939 1493252 1642166 1655562 1738764 2221754 2239878 2463249 2483343 3284332 3311124 3332631 3359817 4443508 4479756 4926498 4966686 6346321 6665262 6719634 7389747 9852996 9933372 9997893 12692642 13330524 13439268 14779494 18884909 19038963 19995786 25385284 29558988 37769818 38077926 39991572 56654727 57116889 75539636 76155852 113309454 114233778 169964181 226618908 228467556 339928362 679856724 783941069 1567882138 2351823207 3135764276 4703646414 7055469621 9407292828 13326998173 14110939242 18030644587 26653996346 28221878484 36061289174 39980994519 53307992692 54091933761 72122578348 79961989038 108183867522 119942983557 159923978076 162275801283 216367735044 239885967114 306520957979 324551602566 479771934228 613041915958 649103205132 919562873937 1226083831916 1839125747874 2758688621811 3678251495748 5517377243622 11034754487244