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461454454164 = 223114084185597
BaseRepresentation
bin1101011011100001101…
…01000010110110010100
31122010002112222002202210
412231300311002312110
530030024320013124
6551553402233420
745224162066604
oct6556065026624
91563075862683
10461454454164
1116877a0113a0
12755241b5870
13346905018a2
1418497ca0c04
15c00bb9aa29
hex6b70d42d94

461454454164 has 48 divisors (see below), whose sum is σ = 1174653821376. Its totient is φ = 139829625600.

The previous prime is 461454454079. The next prime is 461454454207.

461454454164 is nontrivially palindromic in base 10.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 5348214 + ... + 5433810.

It is an arithmetic number, because the mean of its divisors is an integer number (24471954612).

Almost surely, 2461454454164 is an apocalyptic number.

461454454164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461454454164 is an abundant number, since it is smaller than the sum of its proper divisors (713199367212).

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

461454454164 is a wasteful number, since it uses less digits than its factorization.

461454454164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126456 (or 126454 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 461454454164 in words is "four hundred sixty-one billion, four hundred fifty-four million, four hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 40841 81682 85597 122523 163364 171194 245046 256791 342388 449251 490092 513582 898502 941567 1027164 1347753 1797004 1883134 2695506 2824701 3766268 5391012 5649402 11298804 3495867077 6991734154 10487601231 13983468308 20975202462 38454537847 41950404924 76909075694 115363613541 153818151388 230727227082 461454454164