Search a number
-
+
82860703476 = 223171978772351
BaseRepresentation
bin100110100101011100…
…0011111111011110100
321220212201000212102120
41031022320133323310
52324144320002401
6102022104235540
75662236233655
oct1151270377364
9256781025376
1082860703476
1132160785a31
1214085a6bbb0
137a769c7275
144020a8152c
15224e6e9836
hex134ae1fef4

82860703476 has 96 divisors (see below), whose sum is σ = 206076068352. Its totient is φ = 25823078400.

The previous prime is 82860703451. The next prime is 82860703511. The reversal of 82860703476 is 67430706828.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 35243701 + ... + 35246051.

It is an arithmetic number, because the mean of its divisors is an integer number (2146625712).

Almost surely, 282860703476 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 82860703476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103038034176).

82860703476 is an abundant number, since it is smaller than the sum of its proper divisors (123215364876).

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

82860703476 is a wasteful number, since it uses less digits than its factorization.

82860703476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 82860703476 in words is "eighty-two billion, eight hundred sixty million, seven hundred three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 877 1182 1754 2351 2364 2631 3349 3508 4702 5262 6698 7053 9404 10047 10524 13396 14106 14909 20094 28212 29818 39967 40188 44727 59636 79934 89454 119901 159868 172769 178908 239802 345538 463147 479604 518307 691076 926294 1036614 1389441 1852588 2061827 2073228 2778882 2937073 4123654 5557764 5874146 6185481 7873499 8247308 8811219 11748292 12370962 15746998 17622438 23620497 24741924 31493996 35051059 35244876 47240994 70102118 94481988 105153177 140204236 210306354 406179919 420612708 812359838 1218539757 1624719676 2437079514 4874159028 6905058623 13810117246 20715175869 27620234492 41430351738 82860703476