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5338634820 = 22351918125873
BaseRepresentation
bin1001111100011010…
…10001101001000100
3111210001120202012120
410332031101221010
541413142303240
62241425245540
7246203435001
oct47615215104
914701522176
105338634820
11229a57a3a2
12104ba938b0
13671065a1c
143890508a8
15213a47ad0
hex13e351a44

5338634820 has 96 divisors (see below), whose sum is σ = 15822468480. Its totient is φ = 1341204480.

The previous prime is 5338634753. The next prime is 5338634849. The reversal of 5338634820 is 284368335.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193404 + ... + 219276.

It is an arithmetic number, because the mean of its divisors is an integer number (164817380).

Almost surely, 25338634820 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 5338634820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911234240).

5338634820 is an abundant number, since it is smaller than the sum of its proper divisors (10483833660).

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

5338634820 is a wasteful number, since it uses less digits than its factorization.

5338634820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26085 (or 26083 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 5338634820 is about 73065.9621164328. The cubic root of 5338634820 is about 1747.7396471592.

The spelling of 5338634820 in words is "five billion, three hundred thirty-eight million, six hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 181 190 228 285 362 380 543 570 724 905 1086 1140 1810 2172 2715 3439 3620 5430 6878 10317 10860 13756 17195 20634 25873 34390 41268 51585 51746 68780 77619 103170 103492 129365 155238 206340 258730 310476 388095 491587 517460 776190 983174 1474761 1552380 1966348 2457935 2949522 4683013 4915870 5899044 7373805 9366026 9831740 14049039 14747610 18732052 23415065 28098078 29495220 46830130 56196156 70245195 88977247 93660260 140490390 177954494 266931741 280980780 355908988 444886235 533863482 889772470 1067726964 1334658705 1779544940 2669317410 5338634820