Search a number
-
+
472500471020754 = 23111710113733036809
BaseRepresentation
bin110101101101111001001011…
…0101110110011110011010010
32021221222121022020020210011010
41223123302112232303303102
5443412421431040131004
64352531415250231350
7201345014101402341
oct15333622656636322
92257877266223133
10472500471020754
1112760a362913950
1244bb190b885556
13173857ac3b3497
148497205553b58
153995c4cc76a89
hex1adbc96bb3cd2

472500471020754 has 128 divisors (see below), whose sum is σ = 1103162581704960. Its totient is φ = 133328018432000.

The previous prime is 472500471020749. The next prime is 472500471020801. The reversal of 472500471020754 is 457020174005274.

It is a super-2 number, since 2×4725004710207542 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154072702 + ... + 157109510.

It is an arithmetic number, because the mean of its divisors is an integer number (8618457669570).

Almost surely, 2472500471020754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472500471020754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551581290852480).

472500471020754 is an abundant number, since it is smaller than the sum of its proper divisors (630662110684206).

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

472500471020754 is a wasteful number, since it uses less digits than its factorization.

472500471020754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038316.

The product of its (nonzero) digits is 2195200, while the sum is 48.

The spelling of 472500471020754 in words is "four hundred seventy-two trillion, five hundred billion, four hundred seventy-one million, twenty thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1111 1122 1373 1717 2222 2746 3333 3434 4119 5151 6666 8238 10302 15103 18887 23341 30206 37774 45309 46682 56661 70023 90618 113322 138673 140046 256751 277346 416019 513502 770253 832038 1525403 1540506 2357441 3036809 3050806 4576209 4714882 6073618 7072323 9110427 9152418 14144646 18220854 25931851 33404899 51625753 51863702 66809798 77795553 100214697 103251506 154877259 155591106 200429394 306717709 309754518 567883283 613435418 920153127 1135766566 1703649849 1840306254 3373894799 3407299698 4169538757 5214201053 6747789598 8339077514 10121684397 10428402106 12508616271 15642603159 20243368794 25017232542 31285206318 45864926327 57356211583 70882158869 91729852654 114712423166 137594778981 141764317738 172068634749 212646476607 275189557962 344137269498 421123414457 425292953214 779703747559 842246828914 1263370243371 1559407495118 2339111242677 2526740486742 4632357559027 4678222485354 7159098045769 9264715118054 13897072677081 14318196091538 21477294137307 27794145354162 42954588274614 78750078503459 157500157006918 236250235510377 472500471020754