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1365644016 = 243311287383
BaseRepresentation
bin101000101100110…
…0001001011110000
310112011200220102000
41101121201023300
510244101102031
6343302254000
745561532302
oct12131411360
93464626360
101365644016
11640963620
12321427300
13189c0cba9
14cd52b972
157ed5a3e6
hex516612f0

1365644016 has 80 divisors (see below), whose sum is σ = 4276273920. Its totient is φ = 413830080.

The previous prime is 1365643999. The next prime is 1365644039. The reversal of 1365644016 is 6104465631.

It is a happy number.

1365644016 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 644 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 138940 + ... + 148443.

It is an arithmetic number, because the mean of its divisors is an integer number (53453424).

Almost surely, 21365644016 is an apocalyptic number.

1365644016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1365644016 is an abundant number, since it is smaller than the sum of its proper divisors (2910629904).

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

1365644016 is a wasteful number, since it uses less digits than its factorization.

1365644016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287411 (or 287399 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1365644016 is about 36954.6210371585. The cubic root of 1365644016 is about 1109.4621791924.

The spelling of 1365644016 in words is "one billion, three hundred sixty-five million, six hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 287383 574766 862149 1149532 1724298 2299064 2586447 3161213 3448596 4598128 5172894 6322426 6897192 7759341 9483639 10345788 12644852 13794384 15518682 18967278 20691576 25289704 28450917 31037364 37934556 41383152 50579408 56901834 62074728 75869112 85352751 113803668 124149456 151738224 170705502 227607336 341411004 455214672 682822008 1365644016