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5665849344 = 217331601
BaseRepresentation
bin1010100011011011…
…00000000000000000
3112121212021222011000
411101231200000000
543100424134334
62334114452000
7260255632131
oct52155400000
915555258130
105665849344
112448251521
121121594000
136c3aa199c
143ba6a9c88
15232630299
hex151b60000

5665849344 has 144 divisors (see below), whose sum is σ = 16798123440. Its totient is φ = 1887436800.

The previous prime is 5665849339. The next prime is 5665849351. The reversal of 5665849344 is 4439485665.

5665849344 is a `hidden beast` number, since 5 + 66 + 58 + 493 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538144 + ... + 3539744.

It is an arithmetic number, because the mean of its divisors is an integer number (116653635).

Almost surely, 25665849344 is an apocalyptic number.

5665849344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399061720).

5665849344 is an abundant number, since it is smaller than the sum of its proper divisors (11132274096).

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

5665849344 is an frugal number, since it uses more digits than its factorization.

5665849344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1606 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 5665849344 is about 75271.8363267431. The cubic root of 5665849344 is about 1782.7413618810.

It can be divided in two parts, 566 and 5849344, that added together give a triangular number (5849910 = T3420).

The spelling of 5665849344 in words is "five billion, six hundred sixty-five million, eight hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1601 1728 2048 2304 3072 3202 3456 4096 4608 4803 6144 6404 6912 8192 9216 9606 12288 12808 13824 14409 16384 18432 19212 24576 25616 27648 28818 32768 36864 38424 43227 49152 51232 55296 57636 65536 73728 76848 86454 98304 102464 110592 115272 131072 147456 153696 172908 196608 204928 221184 230544 294912 307392 345816 393216 409856 442368 461088 589824 614784 691632 819712 884736 922176 1179648 1229568 1383264 1639424 1769472 1844352 2459136 2766528 3278848 3538944 3688704 4918272 5533056 6557696 7377408 9836544 11066112 13115392 14754816 19673088 22132224 26230784 29509632 39346176 44264448 52461568 59019264 78692352 88528896 104923136 118038528 157384704 177057792 209846272 236077056 314769408 354115584 472154112 629538816 708231168 944308224 1416462336 1888616448 2832924672 5665849344