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4465446414 = 23111322922727
BaseRepresentation
bin1000010100010100…
…10100111000001110
3102112012112011220020
410022022110320032
533121123241124
62015034003010
7215441445132
oct41212247016
912465464806
104465446414
11199169aa90
12a47576466
13562198cb0
143050b33c2
151b2065379
hex10a294e0e

4465446414 has 64 divisors (see below), whose sum is σ = 10538519040. Its totient is φ = 1243566720.

The previous prime is 4465446347. The next prime is 4465446421. The reversal of 4465446414 is 4146445644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185119 + ... + 207845.

It is an arithmetic number, because the mean of its divisors is an integer number (164664360).

Almost surely, 24465446414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465446414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269259520).

4465446414 is an abundant number, since it is smaller than the sum of its proper divisors (6073072626).

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

4465446414 is a wasteful number, since it uses less digits than its factorization.

4465446414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22985.

The product of its digits is 737280, while the sum is 42.

The square root of 4465446414 is about 66823.9957949238. The cubic root of 4465446414 is about 1646.7270798443.

The spelling of 4465446414 in words is "four billion, four hundred sixty-five million, four hundred forty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 229 286 429 458 687 858 1374 2519 2977 5038 5954 7557 8931 15114 17862 22727 32747 45454 65494 68181 98241 136362 196482 249997 295451 499994 590902 749991 886353 1499982 1772706 3249961 5204483 6499922 9749883 10408966 15613449 19499766 31226898 57249313 67658279 114498626 135316558 171747939 202974837 343495878 405949674 744241069 1488482138 2232723207 4465446414