Search a number
-
+
99982293156 = 223241308921929
BaseRepresentation
bin101110100011101101…
…0001011100010100100
3100120001221022202000200
41131013122023202210
53114230431340111
6113533051310500
710136440320024
oct1350732134244
9316057282020
1099982293156
1139447441749
1217463a4b430
139574c50015
144ba6971a84
1529028dd256
hex174768b8a4

99982293156 has 72 divisors (see below), whose sum is σ = 258992861400. Its totient is φ = 32502558720.

The previous prime is 99982293127. The next prime is 99982293157. The reversal of 99982293156 is 65139228999.

99982293156 is a `hidden beast` number, since 9 + 9 + 98 + 229 + 315 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43257344256 + 56724948900 = 207984^2 + 238170^2 .

It is a junction number, because it is equal to n+sod(n) for n = 99982293093 and 99982293102.

It is not an unprimeable number, because it can be changed into a prime (99982293157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4548400 + ... + 4570328.

It is an arithmetic number, because the mean of its divisors is an integer number (3597123075).

Almost surely, 299982293156 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 99982293156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129496430700).

99982293156 is an abundant number, since it is smaller than the sum of its proper divisors (159010568244).

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

99982293156 is a wasteful number, since it uses less digits than its factorization.

99982293156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25069 (or 25064 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 99982293156 in words is "ninety-nine billion, nine hundred eighty-two million, two hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 3089 6178 9267 12356 18534 21929 27801 37068 43858 55602 65787 87716 111204 126649 131574 197361 253298 263148 379947 394722 506596 759894 789444 899089 1139841 1519788 1798178 2279682 2697267 3596356 4559364 5394534 8091801 10789068 16183602 32367204 67738681 135477362 203216043 270954724 406432086 609648129 812864172 1219296258 2438592516 2777285921 5554571842 8331857763 11109143684 16663715526 24995573289 33327431052 49991146578 99982293156