Search a number
-
+
5728123572820 = 22511173299464257
BaseRepresentation
bin101001101011010111011…
…0001010101001001010100
3202021121021210002001100021
41103112232301111021110
51222322144113312240
620103244051354524
71130562146004265
oct123265661251124
922247253061307
105728123572820
111909313474720
12786194bb2a44
1332720cc2714c
1415b357c0696c
159e0057ee54a
hex535aec55254

5728123572820 has 96 divisors (see below), whose sum is σ = 13898770300800. Its totient is φ = 1959828848640.

The previous prime is 5728123572791. The next prime is 5728123572823. The reversal of 5728123572820 is 282753218275.

It is a happy number.

It is a super-2 number, since 2×57281235728202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728123572823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12106132 + ... + 12570388.

It is an arithmetic number, because the mean of its divisors is an integer number (144778857300).

Almost surely, 25728123572820 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 5728123572820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949385150400).

5728123572820 is an abundant number, since it is smaller than the sum of its proper divisors (8170646727980).

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

5728123572820 is a wasteful number, since it uses less digits than its factorization.

5728123572820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467593 (or 467591 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 5728123572820 in words is "five trillion, seven hundred twenty-eight billion, one hundred twenty-three million, five hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3299 3740 6598 13196 16495 32990 36289 56083 65980 72578 112166 145156 181445 224332 280415 362890 464257 560830 616913 725780 928514 1121660 1233826 1857028 2321285 2467652 3084565 4642570 5106827 6169130 7892369 9285140 10213654 12338260 15784738 20427308 25534135 31569476 39461845 51068270 78923690 86816059 102136540 157847380 173632118 347264236 434080295 868160590 1531583843 1736321180 3063167686 6126335372 7657919215 15315838430 16847422273 26036925331 30631676860 33694844546 52073850662 67389689092 84237111365 104147701324 130184626655 168474222730 260369253310 286406178641 336948445460 520738506620 572812357282 1145624714564 1432030893205 2864061786410 5728123572820