Search a number
-
+
104943984912 = 2434136228869
BaseRepresentation
bin110000110111100100…
…1100010000100010000
3101000212201121210120000
41201233021202010100
53204411130004122
6120113253450000
710403416103454
oct1415711420420
9330781553500
10104943984912
1140563164148
1218409640900
139b85b880c0
145117900664
152ae32c90ac
hex186f262110

104943984912 has 100 divisors (see below), whose sum is σ = 327102879180. Its totient is φ = 32290451712.

The previous prime is 104943984863. The next prime is 104943984923. The reversal of 104943984912 is 219489349401.

104943984912 is a `hidden beast` number, since 1 + 0 + 49 + 439 + 84 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70222880016 + 34721104896 = 264996^2 + 186336^2 .

It is a super-2 number, since 2×1049439849122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3097587 + ... + 3131282.

Almost surely, 2104943984912 is an apocalyptic number.

104943984912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104943984912 is an abundant number, since it is smaller than the sum of its proper divisors (222158894268).

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

104943984912 is a wasteful number, since it uses less digits than its factorization.

104943984912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228902 (or 6228887 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 104943984912 in words is "one hundred four billion, nine hundred forty-three million, nine hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 6228869 12457738 18686607 24915476 37373214 49830952 56059821 74746428 80975297 99661904 112119642 149492856 161950594 168179463 224239284 242925891 298985712 323901188 336358926 448478568 485851782 504538389 647802376 672717852 728777673 896957136 971703564 1009076778 1295604752 1345435704 1457555346 1943407128 2018153556 2186333019 2690871408 2915110692 3886814256 4036307112 4372666038 5830221384 6558999057 8072614224 8745332076 11660442768 13117998114 17490664152 26235996228 34981328304 52471992456 104943984912