Search a number
-
+
470552749264 = 241331372817019
BaseRepresentation
bin1101101100011110010…
…00010010010011010000
31122222120122000101022101
412312033020102103100
530202143000434024
61000100254250144
745665510242363
oct6661710222320
91588518011271
10470552749264
1117161883a144
12772431b6954
13354b0449660
1418abc3820da
15c3907e1c44
hex6d8f2124d0

470552749264 has 160 divisors (see below), whose sum is σ = 1044743132160. Its totient is φ = 203735347200.

The previous prime is 470552749253. The next prime is 470552749283. The reversal of 470552749264 is 462947255074.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67036347 + ... + 67043365.

It is an arithmetic number, because the mean of its divisors is an integer number (6529644576).

Almost surely, 2470552749264 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 470552749264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522371566080).

470552749264 is an abundant number, since it is smaller than the sum of its proper divisors (574190382896).

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

470552749264 is a wasteful number, since it uses less digits than its factorization.

470552749264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 55.

The spelling of 470552749264 in words is "four hundred seventy billion, five hundred fifty-two million, seven hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 37 52 62 74 104 124 148 208 248 281 296 403 481 496 562 592 806 962 1124 1147 1612 1924 2248 2294 3224 3653 3848 4496 4588 6448 7019 7306 7696 8711 9176 10397 14038 14612 14911 17422 18352 20794 28076 29224 29822 34844 41588 56152 58448 59644 69688 83176 91247 112304 113243 119288 135161 139376 166352 182494 217589 226486 238576 259703 270322 322307 364988 435178 452972 519406 540644 644614 729976 870356 905944 1038812 1081288 1289228 1459952 1740712 1811888 1972339 2077624 2162576 2578456 2828657 3376139 3481424 3944678 4155248 4189991 5156912 5657314 6752278 7889356 8050793 8379982 11314628 13504556 15778712 16101586 16759964 22629256 25640407 27009112 31557424 32203172 33519928 45258512 51280814 54018224 61142509 64406344 67039856 72976543 102561628 104660309 122285018 128812688 145953086 205123256 209320618 244570036 291906172 410246512 418641236 489140072 583812344 794852617 837282472 948695059 978280144 1167624688 1589705234 1674564944 1897390118 2262272833 3179410468 3794780236 4524545666 6358820936 7589560472 9049091332 12717641872 15179120944 18098182664 29409546829 36196365328 58819093658 117638187316 235276374632 470552749264