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490218375969 = 337173114273449
BaseRepresentation
bin1110010001000110100…
…10101100101100100001
31201212100011100201122000
413020203102230230201
531012431401012334
61013111521034213
750263032305130
oct7104322545441
91655304321560
10490218375969
1117999a5475a3
127b011185969
13372c577ca6a
1419a260a7917
15cb4200e299
hex72234acb21

490218375969 has 128 divisors (see below), whose sum is σ = 908070912000. Its totient is φ = 254889400320.

The previous prime is 490218375949. The next prime is 490218375971. The reversal of 490218375969 is 969573812094.

490218375969 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 1 + 8 + 37 + 596 + 9 = 666.

It is not a de Polignac number, because 490218375969 - 217 = 490218244897 is a prime.

It is a super-2 number, since 2×4902183759692 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (490218375949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142131757 + ... + 142135205.

It is an arithmetic number, because the mean of its divisors is an integer number (7094304000).

It is a 1-persistent number, because it is pandigital, but 2⋅490218375969 = 980436751938 is not.

Almost surely, 2490218375969 is an apocalyptic number.

It is an amenable number.

490218375969 is a deficient number, since it is larger than the sum of its proper divisors (417852536031).

490218375969 is a wasteful number, since it uses less digits than its factorization.

490218375969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 490218375969 in words is "four hundred ninety billion, two hundred eighteen million, three hundred seventy-five thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 17 21 27 31 51 63 93 119 153 189 217 279 357 459 527 651 837 1071 1427 1581 1953 3213 3449 3689 4281 4743 5859 9989 10347 11067 12843 14229 24143 24259 29967 31041 33201 38529 44237 58633 72429 72777 89901 93123 99603 106919 132711 169813 175899 217287 218331 269703 309659 320757 398133 410431 509439 527697 651861 654993 748433 752029 928977 962271 1194399 1231293 1528317 1583091 1817623 2245299 2256087 2786931 2886813 3693879 4584951 4921723 5264203 5452869 6735897 6768261 8360793 11081637 12723361 14765169 15792609 16358607 20207691 20304783 34452061 38170083 44295507 47377827 49075821 83669291 103356183 114510249 132886521 142133481 152573413 251007873 310068549 343530747 457720239 585685037 753023619 930205647 1068013891 1373160717 1757055111 2259070857 2593748021 3204041673 4119482151 5271165333 7781244063 9612125019 15813495999 18156236147 23343732189 28836375057 54468708441 70031196567 163406125323 490218375969