Search a number
-
+
81752510424624 = 24313683423145337
BaseRepresentation
bin10010100101101001111101…
…010101111110011000110000
3101201110110112000101210122120
4102211221331111332120300
541203413120132041444
6445512330153034240
723135265264003024
oct2245517525763060
9351413460353576
1081752510424624
112405a05493a976
1292042263b5980
1336802c8476a60
141628bb21d8384
1596b8851d6b19
hex4a5a7d57e630

81752510424624 has 160 divisors (see below), whose sum is σ = 227831536848384. Its totient is φ = 25111298488320.

The previous prime is 81752510424619. The next prime is 81752510424707. The reversal of 81752510424624 is 42642401525718.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803195684 + ... + 1803241020.

Almost surely, 281752510424624 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 81752510424624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113915768424192).

81752510424624 is an abundant number, since it is smaller than the sum of its proper divisors (146079026423760).

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

81752510424624 is a wasteful number, since it uses less digits than its factorization.

81752510424624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50275 (or 50269 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 81752510424624 in words is "eighty-one trillion, seven hundred fifty-two billion, five hundred ten million, four hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 683 1366 2049 2732 4098 4231 5464 8196 8462 8879 10928 12693 16392 16924 17758 25386 26637 32784 33848 35516 45337 50772 53274 55003 67696 71032 90674 101544 106548 110006 136011 142064 165009 181348 203088 213096 220012 272022 330018 362696 426192 440024 544044 589381 660036 725392 880048 1088088 1178762 1320072 1768143 2176176 2357524 2640144 2889773 3536286 4715048 5779546 7072572 8669319 9430096 11559092 14145144 17338638 23118184 28290288 30965171 34677276 37567049 46236368 61930342 69354552 75134098 92895513 112701147 123860684 138709104 150268196 185791026 191820847 225402294 247721368 300536392 371582052 383641694 402547223 450804588 495442736 575462541 601072784 743164104 767283388 805094446 901609176 1150925082 1207641669 1486328208 1534566776 1610188892 1803218352 2301850164 2415283338 2493671011 3069133552 3220377784 4603700328 4830566676 4987342022 6440755568 7481013033 9207400656 9661133352 9974684044 14962026066 19322266704 19949368088 29924052132 39898736176 59848104264 119696208528 131013638501 262027277002 393040915503 524054554004 786081831006 1048109108008 1572163662012 1703177300513 2096218216016 3144327324024 3406354601026 5109531901539 6288654648048 6812709202052 10219063803078 13625418404104 20438127606156 27250836808208 40876255212312 81752510424624