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5213839104 = 283583813
BaseRepresentation
bin1001101101100010…
…01101111100000000
3111110100202110200000
410312301031330000
541134220322404
62221210400000
7243126621045
oct46661157400
914410673600
105213839104
112236092541
121016130000
1365124ccc6
143766471cc
15207ae6339
hex136c4df00

5213839104 has 108 divisors (see below), whose sum is σ = 15589739256. Its totient is φ = 1737925632.

The previous prime is 5213839093. The next prime is 5213839151. The reversal of 5213839104 is 4019383125.

It is a tau number, because it is divible by the number of its divisors (108).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20302 + ... + 104114.

Almost surely, 25213839104 is an apocalyptic number.

5213839104 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 5213839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794869628).

5213839104 is an abundant number, since it is smaller than the sum of its proper divisors (10375900152).

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

5213839104 is an frugal number, since it uses more digits than its factorization.

5213839104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83844 (or 83818 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5213839104 is about 72206.9186712742. The cubic root of 5213839104 is about 1734.0137688829.

The spelling of 5213839104 in words is "five billion, two hundred thirteen million, eight hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 83813 167626 251439 335252 502878 670504 754317 1005756 1341008 1508634 2011512 2262951 2682016 3017268 4023024 4525902 5364032 6034536 6788853 8046048 9051804 10728064 12069072 13577706 16092096 18103608 20366559 21456128 24138144 27155412 32184192 36207216 40733118 48276288 54310824 64368384 72414432 81466236 96552576 108621648 144828864 162932472 193105152 217243296 289657728 325864944 434486592 579315456 651729888 868973184 1303459776 1737946368 2606919552 5213839104