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464540230602 = 233710915437307
BaseRepresentation
bin1101100001010001100…
…00010110001111001010
31122102001121101210021000
412300220300112033022
530102334244334402
6553223513155430
745363511544430
oct6605060261712
91572047353230
10464540230602
1116a012938958
12760456bbb76
1334a628b97c6
14186aba34d50
15c13ca34c1c
hex6c28c163ca

464540230602 has 128 divisors (see below), whose sum is σ = 1191543091200. Its totient is φ = 131404897728.

The previous prime is 464540230597. The next prime is 464540230631. The reversal of 464540230602 is 206032045464.

464540230602 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 40 + 2 + 3 + 0 + 602 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63571033 + ... + 63578339.

It is an arithmetic number, because the mean of its divisors is an integer number (9308930400).

Almost surely, 2464540230602 is an apocalyptic number.

464540230602 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 464540230602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595771545600).

464540230602 is an abundant number, since it is smaller than the sum of its proper divisors (727002860598).

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

464540230602 is a wasteful number, since it uses less digits than its factorization.

464540230602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977 (or 8971 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 464540230602 in words is "four hundred sixty-four billion, five hundred forty million, two hundred thirty thousand, six hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1543 1962 2289 2943 3086 4578 4629 5886 6867 7307 9258 10801 13734 13887 14614 20601 21602 21921 27774 32403 41202 41661 43842 51149 64806 65763 83322 97209 102298 131526 153447 168187 194418 197289 291627 306894 336374 394578 460341 504561 583254 796463 920682 1009122 1177309 1381023 1513683 1592926 2354618 2389389 2762046 3027366 3531927 4541049 4778778 5575241 7063854 7168167 9082098 10595781 11150482 11274701 14336334 16725723 21191562 21504501 22549402 31787343 33451446 33824103 43009002 50177169 63574686 67648206 78922907 100354338 101472309 150531507 157845814 202944618 236768721 301063014 304416927 473537442 608833854 710306163 1228942409 1420612326 2130918489 2457884818 3686827227 4261836978 7373654454 8602596863 11060481681 17205193726 22120963362 25807790589 33181445043 51615581178 66362890086 77423371767 154846743534 232270115301 464540230602