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463264674315245 = 511293729340276653
BaseRepresentation
bin110100101010101100011011…
…0010110010111101111101101
32020202021200002200100012212122
41221111120312112113233231
5441210112023111041440
64321140504154042325
7166402524331611125
oct15125306626275755
92222250080305778
10463264674315245
11124679499402990
1243b5b96a1193a5
1316b65895c1249a
1482581b6531c85
15388589d66e7b5
hex1a55636597bed

463264674315245 has 128 divisors (see below), whose sum is σ = 646780528074240. Its totient is φ = 315303931514880.

The previous prime is 463264674315241. The next prime is 463264674315271. The reversal of 463264674315245 is 542513476462364.

It is not a de Polignac number, because 463264674315245 - 22 = 463264674315241 is a prime.

It is a super-2 number, since 2×4632646743152452 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463264674315241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69632444339 + ... + 69632450991.

It is an arithmetic number, because the mean of its divisors is an integer number (5052972875580).

Almost surely, 2463264674315245 is an apocalyptic number.

It is an amenable number.

463264674315245 is a deficient number, since it is larger than the sum of its proper divisors (183515853758995).

463264674315245 is a wasteful number, since it uses less digits than its factorization.

463264674315245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055.

The product of its digits is 348364800, while the sum is 62.

The spelling of 463264674315245 in words is "four hundred sixty-three trillion, two hundred sixty-four billion, six hundred seventy-four million, three hundred fifteen thousand, two hundred forty-five".

Divisors: 1 5 11 29 37 55 145 185 293 319 407 1073 1465 1595 2035 3223 4027 5365 6653 8497 10841 11803 16115 20135 33265 42485 44297 54205 59015 73183 93467 116783 119251 148999 192937 221485 246161 314389 365915 467335 583915 596255 744995 964685 1179911 1230805 1284613 1571945 1638989 1949329 2122307 2707771 3458279 4320971 5899555 6423065 7138669 8194945 9746645 10611535 12979021 13538855 17291395 21442619 21604855 26791631 34217419 35693345 43656707 47530681 56530541 64895105 72125173 78525359 107213095 133958155 171087095 218283535 237653405 282652705 294707941 360625865 376391609 392626795 480223777 621835951 776957299 793376903 991290347 1266044503 1473539705 1881958045 2091630017 2401118885 3109179755 3884786495 3966884515 4956451735 6330222515 7849947883 8546530289 10458150085 10904193817 13926489533 23007930187 28747420063 39249739415 42732651445 54520969085 69632447665 86349426713 115039650935 143737100315 227648488607 290448071671 316221620693 431747133565 1138242443035 1452240358355 1581108103465 2504133374677 3194928788381 8422994078459 12520666873385 15974643941905 42114970392295 92652934863049 463264674315245