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253422449356671 = 327293353101938167
BaseRepresentation
bin111001100111110010000011…
…000100100110111101111111
31020020021221122020001110002200
4321213302003010212331333
5231204033134013403141
62254552355510122543
7104244111353422350
oct7147620304467577
91206257566043080
10253422449356671
1173825947a52441
122450ab75650453
13ab53832b04c8a
1446819d79d9d27
151e47175b2cab6
hexe67c83126f7f

253422449356671 has 96 divisors (see below), whose sum is σ = 421389303229440. Its totient is φ = 143764758669312.

The previous prime is 253422449356513. The next prime is 253422449356709. The reversal of 253422449356671 is 176653944224352.

It is a happy number.

253422449356671 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 2 + 24 + 49 + 3 + 566 + 7 + 1 = 666.

It is not a de Polignac number, because 253422449356671 - 29 = 253422449356159 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 253422449356599 and 253422449356608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253422449356471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6639812430 + ... + 6639850596.

It is an arithmetic number, because the mean of its divisors is an integer number (4389471908640).

Almost surely, 2253422449356671 is an apocalyptic number.

253422449356671 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

253422449356671 is a deficient number, since it is larger than the sum of its proper divisors (167966853872769).

253422449356671 is a wasteful number, since it uses less digits than its factorization.

253422449356671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39845 (or 39842 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 253422449356671 in words is "two hundred fifty-three trillion, four hundred twenty-two billion, four hundred forty-nine million, three hundred fifty-six thousand, six hundred seventy-one".

Divisors: 1 3 7 9 21 63 293 353 879 1019 1059 2051 2471 2637 3057 3177 6153 7133 7413 9171 18459 21399 22239 38167 64197 103429 114501 267169 298567 310287 343503 359707 724003 801507 895701 930861 1079121 2089969 2172009 2404521 2517949 2687103 3237363 6269907 6516027 7553847 11182931 13472951 18809721 22661541 33548793 38892173 40418853 78280517 94310657 100646379 105394151 116676519 121256559 234841551 272245211 282931971 316182453 350029557 704524653 737759057 816735633 848795913 948547359 2213277171 2450206899 3947574643 6639831513 11395406689 11842723929 13728937069 27633022501 34186220067 35528171787 41186811207 79767846823 82899067503 96102559483 102558660201 123560433621 239303540469 248697202509 288307678449 717910621407 864923035347 4022578561217 12067735683651 28158049928519 36203207050953 84474149785557 253422449356671