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461020639482 = 2321321723338261
BaseRepresentation
bin1101011010101101111…
…10001011000011111010
31122001222022200000220100
412231112332023003322
530023132240430412
6551442344140230
745210343531014
oct6552676130372
91561868600810
10461020639482
1116857714aa67
1275422a67676
1334621680c00
14184564171b4
15bed3a57edc
hex6b56f8b0fa

461020639482 has 144 divisors (see below), whose sum is σ = 1150195665528. Its totient is φ = 132931768320.

The previous prime is 461020639379. The next prime is 461020639507. The reversal of 461020639482 is 284936020164.

461020639482 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 2 + 0 + 639 + 4 + 8 + 2 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 29422883961 + 431597755521 = 171531^2 + 656961^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12030232 + ... + 12068492.

Almost surely, 2461020639482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461020639482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575097832764).

461020639482 is an abundant number, since it is smaller than the sum of its proper divisors (689175026046).

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

461020639482 is a wasteful number, since it uses less digits than its factorization.

461020639482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38545 (or 38529 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 461020639482 in words is "four hundred sixty-one billion, twenty million, six hundred thirty-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 233 234 306 338 442 466 507 663 699 1014 1326 1398 1521 1989 2097 2873 3029 3042 3961 3978 4194 5746 6058 7922 8619 9087 11883 17238 18174 23766 25857 27261 35649 38261 39377 51493 51714 54522 71298 76522 78754 102986 114783 118131 154479 229566 236262 308958 344349 354393 463437 497393 650437 669409 688698 708786 926874 994786 1300874 1338818 1492179 1951311 2008227 2984358 3902622 4016454 4476537 5853933 6024681 6466109 8455681 8914813 8953074 11707866 12049362 12932218 16911362 17829626 19398327 25367043 26744439 38796654 50734086 53488878 58194981 76101129 80233317 109923853 115892569 116389962 151551821 152202258 160466634 219847706 231785138 303103642 329771559 347677707 454655463 659543118 695355414 909310926 989314677 1043033121 1363966389 1506603397 1970173673 1978629354 2086066242 2727932778 3013206794 3940347346 4519810191 5910521019 9039620382 11821042038 13559430573 17731563057 25612257749 27118861146 35463126114 51224515498 76836773247 153673546494 230510319741 461020639482