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80272385467884 = 223229181977434803
BaseRepresentation
bin10010010000000111011111…
…000001010110010111101100
3101112012222001120011110202100
4102100013133001112113230
541010140321134433014
6442420342542255100
722623326354314011
oct2220073701262754
9345188046143670
1080272385467884
1123639366999775
1290053ab587490
1335a3865896c9c
1415b72c0407708
15943107b24009
hex4901df0565ec

80272385467884 has 144 divisors (see below), whose sum is σ = 211283907700320. Its totient is φ = 25665701160960.

The previous prime is 80272385467861. The next prime is 80272385467927. The reversal of 80272385467884 is 48876458327208.

It is a happy number.

80272385467884 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 2 + 3 + 8 + 546 + 78 + 8 + 4 = 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, 184400427 + ... + 184835229.

It is an arithmetic number, because the mean of its divisors is an integer number (1467249359030).

Almost surely, 280272385467884 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 80272385467884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105641953850160).

80272385467884 is an abundant number, since it is smaller than the sum of its proper divisors (131011522232436).

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

80272385467884 is a wasteful number, since it uses less digits than its factorization.

80272385467884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436000 (or 435995 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 72.

The spelling of 80272385467884 in words is "eighty trillion, two hundred seventy-two billion, three hundred eighty-five million, four hundred sixty-seven thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 181 261 348 362 522 543 724 977 1044 1086 1629 1954 2172 2931 3258 3908 5249 5862 6516 8793 10498 11724 15747 17586 20996 28333 31494 35172 47241 56666 62988 84999 94482 113332 169998 176837 188964 254997 339996 353674 434803 509994 530511 707348 869606 1019988 1061022 1304409 1591533 1739212 2122044 2608818 3183066 3913227 5128273 5217636 6366132 7826454 10256546 12609287 15384819 15652908 20513092 25218574 30769638 37827861 46154457 50437148 61539276 75655722 78699343 92308914 113483583 151311444 157398686 184617828 226967166 236098029 314797372 424802531 453934332 472196058 708294087 849605062 944392116 1274407593 1416588174 1699210124 2282280947 2548815186 2833176348 3823222779 4564561894 5097630372 6846842841 7646445558 9129123788 12319273399 13693685682 15292891116 20540528523 24638546798 27387371364 36957820197 41081057046 49277093596 73915640394 76889258111 82162114092 110873460591 147831280788 153778516222 221746921182 230667774333 307557032444 443493842364 461335548666 692003322999 922671097332 1384006645998 2229788485219 2768013291996 4459576970438 6689365455657 8919153940876 13378730911314 20068096366971 26757461822628 40136192733942 80272385467884