Search a number
-
+
461049148036 = 222322925092
BaseRepresentation
bin1101011010110001010…
…10111011001010000100
31122002001022022102021201
412231120222323022010
530023212040214121
6551445243152244
745211141045231
oct6553052731204
91562038272251
10461049148036
11168591251954
1275430515684
1334627553089
141845a118788
15bed62d9e91
hex6b58abb284

461049148036 has 81 divisors (see below), whose sum is σ = 875247658831. Its totient is φ = 212479989568.

The previous prime is 461049148009. The next prime is 461049148061. The reversal of 461049148036 is 630841940164.

The square root of 461049148036 is 679006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 58078108036 + 402971040000 = 240994^2 + 634800^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 905793750 + ... + 905794258.

Almost surely, 2461049148036 is an apocalyptic number.

461049148036 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

461049148036 is the 679006-th square number.

It is an amenable number.

461049148036 is a deficient number, since it is larger than the sum of its proper divisors (414198510795).

461049148036 is an equidigital number, since it uses as much as digits as its factorization.

461049148036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 461049148036 in words is "four hundred sixty-one billion, forty-nine million, one hundred forty-eight thousand, thirty-six".

Divisors: 1 2 4 23 29 46 58 92 116 509 529 667 841 1018 1058 1334 1682 2036 2116 2668 3364 11707 14761 15341 19343 23414 29522 30682 38686 46828 59044 61364 77372 259081 269261 339503 428069 444889 518162 538522 679006 856138 889778 1036324 1077044 1358012 1712276 1779556 5958863 7513349 7808569 9845587 11917726 15026698 15617138 19691174 23835452 30053396 31234276 39382348 137053849 172807027 217887121 226448501 274107698 345614054 435774242 452897002 548215396 691228108 871548484 905794004 3974561621 5011403783 7949123242 10022807566 15898246484 20045615132 115262287009 230524574018 461049148036