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5778798336 = 28337971049
BaseRepresentation
bin1010110000111000…
…10111011100000000
3112220201211101001000
411120130113130000
543313333021321
62353231412000
7263126655363
oct53034273400
915821741030
105778798336
1124a5a877a3
121153384000
137112ca3cc
143cb6ac0da
1523c4e1826
hex158717700

5778798336 has 144 divisors (see below), whose sum is σ = 17126676000. Its totient is φ = 1922015232.

The previous prime is 5778798241. The next prime is 5778798349. The reversal of 5778798336 is 6338978775.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5508340 + ... + 5509388.

It is an arithmetic number, because the mean of its divisors is an integer number (118935250).

Almost surely, 25778798336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5778798336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563338000).

5778798336 is an abundant number, since it is smaller than the sum of its proper divisors (11347877664).

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

5778798336 is a wasteful number, since it uses less digits than its factorization.

5778798336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1851 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The square root of 5778798336 is about 76018.4078759875. The cubic root of 5778798336 is about 1794.5098493840.

The spelling of 5778798336 in words is "five billion, seven hundred seventy-eight million, seven hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 797 864 1049 1152 1594 1728 2098 2304 2391 3147 3188 3456 4196 4782 6294 6376 6912 7173 8392 9441 9564 12588 12752 14346 16784 18882 19128 21519 25176 25504 28323 28692 33568 37764 38256 43038 50352 51008 56646 57384 67136 75528 76512 86076 100704 102016 113292 114768 134272 151056 153024 172152 201408 204032 226584 229536 268544 302112 306048 344304 402816 453168 459072 604224 612096 688608 805632 836053 906336 918144 1208448 1377216 1672106 1812672 1836288 2416896 2508159 2754432 3344212 3625344 5016318 5508864 6688424 7250688 7524477 10032636 13376848 15048954 20065272 22573431 26753696 30097908 40130544 45146862 53507392 60195816 80261088 90293724 107014784 120391632 160522176 180587448 214029568 240783264 321044352 361174896 481566528 642088704 722349792 963133056 1444699584 1926266112 2889399168 5778798336