Search a number
-
+
5684978304 = 273313712007
BaseRepresentation
bin1010100101101100…
…11110001010000000
3112200012021211011000
411102312132022000
543120323301204
62340040452000
7260610342525
oct52266361200
915605254130
105684978304
112458027385
121127a7a000
136c7a3b7b5
143bd04914c
1523415d039
hex152d9e280

5684978304 has 128 divisors (see below), whose sum is σ = 16902460800. Its totient is φ = 1881004032.

The previous prime is 5684978293. The next prime is 5684978309. The reversal of 5684978304 is 4038794865.

5684978304 is a `hidden beast` number, since 568 + 4 + 9 + 78 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (5684978309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467469 + ... + 479475.

It is an arithmetic number, because the mean of its divisors is an integer number (132050475).

Almost surely, 25684978304 is an apocalyptic number.

5684978304 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 5684978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451230400).

5684978304 is an abundant number, since it is smaller than the sum of its proper divisors (11217482496).

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

5684978304 is a wasteful number, since it uses less digits than its factorization.

5684978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12167 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5684978304 is about 75398.7951097363. The cubic root of 5684978304 is about 1784.7453969186.

The spelling of 5684978304 in words is "five billion, six hundred eighty-four million, nine hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 137 144 192 216 274 288 384 411 432 548 576 822 864 1096 1152 1233 1644 1728 2192 2466 3288 3456 3699 4384 4932 6576 7398 8768 9864 12007 13152 14796 17536 19728 24014 26304 29592 36021 39456 48028 52608 59184 72042 78912 96056 108063 118368 144084 157824 192112 216126 236736 288168 324189 384224 432252 473472 576336 648378 768448 864504 1152672 1296756 1536896 1644959 1729008 2305344 2593512 3289918 3458016 4610688 4934877 5187024 6579836 6916032 9869754 10374048 13159672 13832064 14804631 19739508 20748096 26319344 29609262 39479016 41496192 44413893 52638688 59218524 78958032 88827786 105277376 118437048 157916064 177655572 210554752 236874096 315832128 355311144 473748192 631664256 710622288 947496384 1421244576 1894992768 2842489152 5684978304