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5314501728 = 2532181269379
BaseRepresentation
bin1001111001100010…
…01101110001100000
3111201101011122211100
410330301031301200
541341003023403
62235204114400
7245461343064
oct47461156140
914641148740
105314501728
112287996898
121043995a00
136690662a3
14385b6baa4
1521187c2a3
hex13cc4dc60

5314501728 has 144 divisors (see below), whose sum is σ = 15293350800. Its totient is φ = 1750533120.

The previous prime is 5314501721. The next prime is 5314501741. The reversal of 5314501728 is 8271054135.

5314501728 is a `hidden beast` number, since 5 + 31 + 450 + 172 + 8 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5314501692 and 5314501701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314501721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14022243 + ... + 14022621.

It is an arithmetic number, because the mean of its divisors is an integer number (106203825).

Almost surely, 25314501728 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 5314501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646675400).

5314501728 is an abundant number, since it is smaller than the sum of its proper divisors (9978849072).

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

5314501728 is a wasteful number, since it uses less digits than its factorization.

5314501728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5314501728 is about 72900.6291330877. The cubic root of 5314501728 is about 1745.1021391051.

The spelling of 5314501728 in words is "five billion, three hundred fourteen million, five hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 269 288 362 379 538 543 724 758 807 1076 1086 1137 1448 1516 1614 1629 2152 2172 2274 2421 2896 3032 3228 3258 3411 4304 4344 4548 4842 5792 6064 6456 6516 6822 8608 8688 9096 9684 12128 12912 13032 13644 17376 18192 19368 25824 26064 27288 36384 38736 48689 52128 54576 68599 77472 97378 101951 109152 137198 146067 194756 203902 205797 274396 292134 305853 389512 407804 411594 438201 548792 584268 611706 617391 779024 815608 823188 876402 917559 1097584 1168536 1223412 1234782 1558048 1631216 1646376 1752804 1835118 2195168 2337072 2446824 2469564 3262432 3292752 3505608 3670236 4674144 4893648 4939128 6585504 7011216 7340472 9787296 9878256 14022432 14680944 18453131 19756512 29361888 36906262 55359393 73812524 110718786 147625048 166078179 221437572 295250096 332156358 442875144 590500192 664312716 885750288 1328625432 1771500576 2657250864 5314501728