Search a number
-
+
31098528216 = 23327593104053
BaseRepresentation
bin11100111101100111…
…011110000111011000
32222021022100220210100
4130331213132013120
51002142210400331
622141513215400
72150436062010
oct347547360730
988238326710
1031098528216
1112209343598
12603aa01560
132c17b4bbb2
1417102c2c40
15c202bdae6
hex73d9de1d8

31098528216 has 96 divisors (see below), whose sum is σ = 96420598560. Its totient is φ = 8870224896.

The previous prime is 31098528191. The next prime is 31098528221. The reversal of 31098528216 is 61282589013.

31098528216 is a `hidden beast` number, since 3 + 10 + 98 + 528 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246846 + ... + 350898.

It is an arithmetic number, because the mean of its divisors is an integer number (1004381235).

Almost surely, 231098528216 is an apocalyptic number.

31098528216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31098528216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48210299280).

31098528216 is an abundant number, since it is smaller than the sum of its proper divisors (65322070344).

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

31098528216 is a wasteful number, since it uses less digits than its factorization.

31098528216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104665 (or 104658 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31098528216 in words is "thirty-one billion, ninety-eight million, five hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 593 1186 1779 2372 3558 4151 4744 5337 7116 8302 10674 12453 14232 16604 21348 24906 33208 37359 42696 49812 74718 99624 104053 149436 208106 298872 312159 416212 624318 728371 832424 936477 1248636 1456742 1872954 2185113 2497272 2913484 3745908 4370226 5826968 6555339 7491816 8740452 13110678 17480904 26221356 52442712 61703429 123406858 185110287 246813716 370220574 431924003 493627432 555330861 740441148 863848006 1110661722 1295772009 1480882296 1727696012 2221323444 2591544018 3455392024 3887316027 4442646888 5183088036 7774632054 10366176072 15549264108 31098528216