Search a number
-
+
213469813152 = 2534233580747
BaseRepresentation
bin1100011011001111001…
…0101101100110100000
3202102000002010002110000
43012303302231212200
511444141233010102
6242022222540000
721264660321201
oct3066362554640
9672002102400
10213469813152
1182594165192
1235456737600
131718cb36c0b
14a490dc55a8
155845c7a01c
hex31b3cad9a0

213469813152 has 120 divisors (see below), whose sum is σ = 655105008096. Its totient is φ = 68062819968.

The previous prime is 213469813111. The next prime is 213469813201. The reversal of 213469813152 is 251318964312.

213469813152 is a `hidden beast` number, since 2 + 1 + 3 + 469 + 8 + 131 + 52 = 666.

213469813152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2134698131522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213469813098 and 213469813107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1730758 + ... + 1849989.

Almost surely, 2213469813152 is an apocalyptic number.

It is an amenable number.

213469813152 is an abundant number, since it is smaller than the sum of its proper divisors (441635194944).

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

213469813152 is a wasteful number, since it uses less digits than its factorization.

213469813152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580792 (or 3580775 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 213469813152 in words is "two hundred thirteen billion, four hundred sixty-nine million, eight hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 6624 7452 9936 14904 19872 29808 59616 3580747 7161494 10742241 14322988 21484482 28645976 32226723 42968964 57291952 64453446 82357181 85937928 96680169 114583904 128906892 164714362 171875856 193360338 247071543 257813784 290040507 329428724 343751712 386720676 494143086 515627568 580081014 658857448 741214629 773441352 988286172 1031255136 1160162028 1317714896 1482429258 1546882704 1976572344 2223643887 2320324056 2635429792 2964858516 3093765408 3953144688 4447287774 4640648112 5929717032 6670931661 7906289376 8894575548 9281296224 11859434064 13341863322 17789151096 23718868128 26683726644 35578302192 53367453288 71156604384 106734906576 213469813152