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472457574631341 = 3213293793167116009
BaseRepresentation
bin110101101101100101001100…
…1111010000100011110101101
32021221211111120201010102022200
41223123022121322010132231
5443411221103101200331
64352500002523532113
7201341635064166465
oct15333123172043655
92257744521112280
10472457574631341
111275a314aa32652
1244ba553998a039
1317381734255740
1484950d6430ba5
153994a8bd655e6
hex1adb299e847ad

472457574631341 has 96 divisors (see below), whose sum is σ = 762529832064000. Its totient is φ = 279886001439744.

The previous prime is 472457574631313. The next prime is 472457574631403. The reversal of 472457574631341 is 143136475754274.

472457574631341 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 5 + 7 + 574 + 6 + 3 + 13 + 41 = 666.

It is not a de Polignac number, because 472457574631341 - 25 = 472457574631309 is a prime.

It is a super-4 number, since 4×4724575746313414 (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472457474631341) 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, 4072536145 + ... + 4072652153.

It is an arithmetic number, because the mean of its divisors is an integer number (7943019084000).

Almost surely, 2472457574631341 is an apocalyptic number.

It is an amenable number.

472457574631341 is a deficient number, since it is larger than the sum of its proper divisors (290072257432659).

472457574631341 is a wasteful number, since it uses less digits than its factorization.

472457574631341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119603 (or 119600 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 63.

The spelling of 472457574631341 in words is "four hundred seventy-two trillion, four hundred fifty-seven billion, five hundred seventy-four million, six hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 379 1131 1137 3167 3393 3411 4927 9501 10991 14781 28503 32973 41171 44343 91843 98919 116009 123513 142883 275529 348027 370539 428649 826587 1044081 1193959 1200293 1285947 1508117 3364261 3581877 3600879 4524351 10092783 10745631 10802637 13573053 15603809 30278349 34808497 43735393 43967411 46811427 104425491 131206179 131902233 140434281 313276473 367400503 393618537 395706699 452510461 571576343 1102201509 1275054919 1357531383 1714729029 3306604527 3825164757 4072594149 4776206539 5144187087 10654614587 11475494271 14328619617 16575713947 31963843761 42985858851 49727141841 95891531283 138509989631 139244790637 149181425523 415529968893 417734371911 1246589906679 1253203115733 1810182278281 4038098928473 5430546834843 12114296785419 16291640504529 36342890356257 52495286070149 157485858210447 472457574631341