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450460259381 = 11253897731021
BaseRepresentation
bin1101000111000011000…
…01100001010000110101
31121001201100110010210102
412203201201201100311
524340020311300011
6542534422403445
744354553012566
oct6434141412065
91531640403712
10450460259381
11164048089100
1273376290585
133362a85a6a2
1417b33aa216d
15bab68a673b
hex68e1861435

450460259381 has 48 divisors (see below), whose sum is σ = 511304678640. Its totient is φ = 396365798400.

The previous prime is 450460259377. The next prime is 450460259399. The reversal of 450460259381 is 183952064054.

It can be written as a sum of positive squares in 8 ways, for example, as 33318661156 + 417141598225 = 182534^2 + 645865^2 .

It is not a de Polignac number, because 450460259381 - 22 = 450460259377 is a prime.

It is a super-2 number, since 2×4504602593812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450460259371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441194651 + ... + 441195671.

It is an arithmetic number, because the mean of its divisors is an integer number (10652180805).

Almost surely, 2450460259381 is an apocalyptic number.

It is an amenable number.

450460259381 is a deficient number, since it is larger than the sum of its proper divisors (60844419259).

450460259381 is a wasteful number, since it uses less digits than its factorization.

450460259381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 450460259381 in words is "four hundred fifty billion, four hundred sixty million, two hundred fifty-nine thousand, three hundred eighty-one".

Divisors: 1 11 53 89 121 583 773 979 1021 4717 6413 8503 10769 11231 40969 51887 54113 68797 90869 93533 123541 450659 570757 595243 756767 789233 999559 3646241 4816057 4957249 6547673 8324437 8681563 10995149 40108651 41829349 52976627 70241737 95497193 441195161 460122839 582742897 772659107 3722812061 5061351229 8499250177 40950932671 450460259381