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8506880982 = 234194167409
BaseRepresentation
bin1111110110000110…
…01011001111010110
3210221212012022220000
413323003023033112
5114410230142412
63524043552130
7420544203165
oct77303131726
923855168800
108506880982
113675a04656
121794b2b646
13a575671b2
145a9b313dc
1534bc724dc
hex1fb0cb3d6

8506880982 has 80 divisors (see below), whose sum is σ = 20554657200. Its totient is φ = 2620823040.

The previous prime is 8506880981. The next prime is 8506880983. The reversal of 8506880982 is 2890886058.

It is an interprime number because it is at equal distance from previous prime (8506880981) and next prime (8506880983).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8506880981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92494 + ... + 159902.

It is an arithmetic number, because the mean of its divisors is an integer number (256933215).

Almost surely, 28506880982 is an apocalyptic number.

8506880982 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8506880982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277328600).

8506880982 is an abundant number, since it is smaller than the sum of its proper divisors (12047776218).

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

8506880982 is a wasteful number, since it uses less digits than its factorization.

8506880982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67483 (or 67474 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 8506880982 is about 92232.7543880155. The cubic root of 8506880982 is about 2041.3781042911.

The spelling of 8506880982 in words is "eight billion, five hundred six million, eight hundred eighty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 246 342 369 513 738 779 1026 1107 1539 1558 2214 2337 3078 3321 4674 6642 7011 14022 21033 42066 63099 67409 126198 134818 202227 404454 606681 1213362 1280771 1820043 2561542 2763769 3640086 3842313 5460129 5527538 7684626 8291307 10920258 11526939 16582614 23053878 24873921 34580817 49747842 52511611 69161634 74621763 103742451 105023222 149243526 157534833 207484902 223865289 315069666 447730578 472604499 945208998 1417813497 2835626994 4253440491 8506880982