Search a number
-
+
495623670436449 = 382748472
BaseRepresentation
bin111000010110001000110000…
…0110100011001001001100001
32101222212011022202102100000000
41300230101200310121021201
51004430244234112431244
64514034212043050213
7206252425404431322
oct16054214064311141
92358764282370000
10495623670436449
11133a14900096085
1247707230510969
131837215b1a7049
148a564568c6449
153c4749813c169
hex1c2c460d19261

495623670436449 has 27 divisors (see below), whose sum is σ = 743400439997137. Its totient is φ = 330414578110188.

The previous prime is 495623670436387. The next prime is 495623670436483. The reversal of 495623670436449 is 944634076326594.

The square root of 495623670436449 is 22262607.

It is a perfect power (a square), and thus also a powerful number.

495623670436449 is a `hidden beast` number, since 4 + 9 + 56 + 2 + 36 + 70 + 4 + 36 + 449 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 495623670436449 - 227 = 495623536218721 is a prime.

It is a super-2 number, since 2×4956236704364492 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (495623670436549) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1803133744 + ... + 1803408590.

Almost surely, 2495623670436449 is an apocalyptic number.

495623670436449 is the 22262607-th square number.

495623670436449 is the 11131304-th centered octagonal number.

It is an amenable number.

495623670436449 is a deficient number, since it is larger than the sum of its proper divisors (247776769560688).

495623670436449 is an frugal number, since it uses more digits than its factorization.

495623670436449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549718 (or 274850 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 72.

The spelling of 495623670436449 in words is "four hundred ninety-five trillion, six hundred twenty-three billion, six hundred seventy million, four hundred thirty-six thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 274847 824541 2473623 7420869 22262607 66787821 200363463 601090389 1803271167 75540873409 226622620227 679867860681 2039603582043 6118810746129 18356432238387 55069296715161 165207890145483 495623670436449