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1365616416 = 25314225171
BaseRepresentation
bin101000101100101…
…1010011100100000
310112011122111112210
41101121122130200
510244044211131
6343301522120
745561355653
oct12131323440
93464574483
101365616416
1164094490a
12321413340
13189c00468
14cd52189a
157ed52146
hex5165a720

1365616416 has 24 divisors (see below), whose sum is σ = 3584743344. Its totient is φ = 455205440.

The previous prime is 1365616381. The next prime is 1365616423. The reversal of 1365616416 is 6146165631.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 7112490 + ... + 7112681.

It is an arithmetic number, because the mean of its divisors is an integer number (149364306).

Almost surely, 21365616416 is an apocalyptic number.

1365616416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1365616416 is an abundant number, since it is smaller than the sum of its proper divisors (2219126928).

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

1365616416 is a wasteful number, since it uses less digits than its factorization.

1365616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225184 (or 14225176 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 1365616416 is about 36954.2476043012. The cubic root of 1365616416 is about 1109.4547049746.

The spelling of 1365616416 in words is "one billion, three hundred sixty-five million, six hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14225171 28450342 42675513 56900684 85351026 113801368 170702052 227602736 341404104 455205472 682808208 1365616416