Search a number
-
+
8998146468 = 223440169257
BaseRepresentation
bin10000110000101010…
…01101000110100100
3212020002121012110000
420120111031012210
5121412011141333
64044513301300
7435660661113
oct103025150644
925202535400
108998146468
1138a8245693
1218b1564830
13b0528172c
14615091c7a
15379e62713
hex21854d1a4

8998146468 has 60 divisors (see below), whose sum is σ = 23581933452. Its totient is φ = 2991859200.

The previous prime is 8998146433. The next prime is 8998146473. The reversal of 8998146468 is 8646418998.

8998146468 is a `hidden beast` number, since 8 + 99 + 81 + 4 + 6 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8292287844 + 705858624 = 91062^2 + 26568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95296 + ... + 164552.

Almost surely, 28998146468 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 8998146468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790966726).

8998146468 is an abundant number, since it is smaller than the sum of its proper divisors (14583786984).

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

8998146468 is a wasteful number, since it uses less digits than its factorization.

8998146468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69674 (or 69663 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 8998146468 is about 94858.5603306312. The cubic root of 8998146468 is about 2079.9410168802.

The spelling of 8998146468 in words is "eight billion, nine hundred ninety-eight million, one hundred forty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 401 802 1203 1604 2406 3609 4812 7218 10827 14436 21654 32481 43308 64962 69257 129924 138514 207771 277028 415542 623313 831084 1246626 1869939 2493252 3739878 5609817 7479756 11219634 22439268 27772057 55544114 83316171 111088228 166632342 249948513 333264684 499897026 749845539 999794052 1499691078 2249536617 2999382156 4499073234 8998146468