Search a number
-
+
495042966557424 = 24332251509077207
BaseRepresentation
bin111000010001111010010110…
…0001010111001001011110000
32101220210122102111121210021000
41300203310230022321023300
51004341240443414314144
64512511333235402000
7206162450126051625
oct16043645412711360
92356718374553230
10495042966557424
111338105a79728aa
1247632787a53300
131832c4751575cc
148a362c926034c
153c3730c34d769
hex1c23d2c2b92f0

495042966557424 has 80 divisors (see below), whose sum is σ = 1421587921795840. Its totient is φ = 164941014744000.

The previous prime is 495042966557393. The next prime is 495042966557437. The reversal of 495042966557424 is 424755669240594.

495042966557424 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 4 + 2 + 9 + 66 + 557 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253566172 + ... + 255511035.

It is an arithmetic number, because the mean of its divisors is an integer number (17769849022448).

Almost surely, 2495042966557424 is an apocalyptic number.

It is an amenable number.

495042966557424 is an abundant number, since it is smaller than the sum of its proper divisors (926544955238416).

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

495042966557424 is a wasteful number, since it uses less digits than its factorization.

495042966557424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509079475 (or 509079463 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 72.

The spelling of 495042966557424 in words is "four hundred ninety-five trillion, forty-two billion, nine hundred sixty-six million, five hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2251 4502 6753 9004 13506 18008 20259 27012 36016 40518 54024 60777 81036 108048 121554 162072 243108 324144 486216 972432 509077207 1018154414 1527231621 2036308828 3054463242 4072617656 4581694863 6108926484 8145235312 9163389726 12217852968 13745084589 18326779452 24435705936 27490169178 36653558904 54980338356 73307117808 109960676712 219921353424 1145932792957 2291865585914 3437798378871 4583731171828 6875596757742 9167462343656 10313395136613 13751193515484 18334924687312 20626790273226 27502387030968 30940185409839 41253580546452 55004774061936 61880370819678 82507161092904 123760741639356 165014322185808 247521483278712 495042966557424