Search a number
-
+
80272328680446 = 23719473206966739
BaseRepresentation
bin10010010000000111011011…
…101000101110001111111110
3101112012221220121022101000220
4102100013123220232033332
541010140212120233241
6442420333153202210
722623325064526660
oct2220073350561776
9345187817271026
1080272328680446
1123639337932501
129005394560366
1335a3856ba3356
1415b72b6a64530
15943102b58166
hex4901dba2e3fe

80272328680446 has 128 divisors (see below), whose sum is σ = 197254821888000. Its totient is φ = 21264571972224.

The previous prime is 80272328680433. The next prime is 80272328680553. The reversal of 80272328680446 is 64408682327208.

It is a self number, because there is not a number n which added to its sum of digits gives 80272328680446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202746545 + ... + 1202813283.

It is an arithmetic number, because the mean of its divisors is an integer number (1541053296000).

Almost surely, 280272328680446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80272328680446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98627410944000).

80272328680446 is an abundant number, since it is smaller than the sum of its proper divisors (116982493207554).

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

80272328680446 is a wasteful number, since it uses less digits than its factorization.

80272328680446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98886.

The product of its (nonzero) digits is 49545216, while the sum is 60.

The spelling of 80272328680446 in words is "eighty trillion, two hundred seventy-two billion, three hundred twenty-eight million, six hundred eighty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 658 798 893 987 1786 1974 2679 5358 6251 12502 18753 32069 37506 64138 66739 96207 133478 192414 200217 224483 400434 448966 467173 609311 673449 934346 1218622 1268041 1346898 1401519 1507243 1827933 2536082 2803038 3014486 3136733 3655866 3804123 4265177 4521729 6273466 7608246 8530354 8876287 9043458 9410199 10550701 12795531 17752574 18820398 21101402 21957131 25591062 26628861 28637617 31652103 43914262 53257722 57275234 59597927 63304206 65871393 85912851 119195854 131742786 171825702 178793781 200463319 357587562 400926638 417185489 601389957 834370978 1202779914 1251556467 2140252991 2503112934 4280505982 6420758973 12841517946 14981770937 29963541874 40664806829 44945312811 81329613658 89890625622 100591890577 121994420487 201183781154 243988840974 284653647803 301775671731 569307295606 603551343462 704143234039 853960943409 1408286468078 1707921886818 1911245920963 2112429702117 3822491841926 4224859404234 5733737762889 11467475525778 13378721446741 26757442893482 40136164340223 80272328680446