Search a number
-
+
216674567145 = 32511257427733
BaseRepresentation
bin1100100111001011001…
…1111000001111101001
3202201021102102110110100
43021302303320033221
512022222142122040
6243312223540013
721440253301251
oct3116263701751
9681242373410
10216674567145
1183989165303
1235baba5a609
1317580a7b55a
14a6b688a961
1559822b6b30
hex3272cf83e9

216674567145 has 24 divisors (see below), whose sum is σ = 375603491016. Its totient is φ = 115549233408.

The previous prime is 216674567129. The next prime is 216674567183. The reversal of 216674567145 is 541765476612.

216674567145 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 74 + 567 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9820611801 + 206853955344 = 99099^2 + 454812^2 .

It is not a de Polignac number, because 216674567145 - 24 = 216674567129 is a prime.

It is a super-2 number, since 2×2166745671452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 216674567091 and 216674567100.

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, 292699 + ... + 720431.

It is an arithmetic number, because the mean of its divisors is an integer number (15650145459).

Almost surely, 2216674567145 is an apocalyptic number.

It is an amenable number.

216674567145 is a deficient number, since it is larger than the sum of its proper divisors (158928923871).

216674567145 is a wasteful number, since it uses less digits than its factorization.

216674567145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439001 (or 438998 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 216674567145 in words is "two hundred sixteen billion, six hundred seventy-four million, five hundred sixty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 11257 33771 56285 101313 168855 427733 506565 1283199 2138665 3849597 6415995 19247985 4814990381 14444971143 24074951905 43334913429 72224855715 216674567145