Search a number
-
+
4828034754300 = 22352101211755171
BaseRepresentation
bin100011001000001110101…
…0010111110011011111100
3122002120000001011112000010
41012100131102332123330
51113100303344114200
614133545112303220
71005546126201522
oct106203522763374
918076001145003
104828034754300
1115a161583019a
1265b8570a1b10
13290387c40b04
1412996cb00312
15858c55cb150
hex4641d4be6fc

4828034754300 has 144 divisors (see below), whose sum is σ = 14174300536704. Its totient is φ = 1268685600000.

The previous prime is 4828034754293. The next prime is 4828034754313. The reversal of 4828034754300 is 34574308284.

It is a super-2 number, since 2×48280347543002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4828034754300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6015715 + ... + 6770885.

It is an arithmetic number, because the mean of its divisors is an integer number (98432642616).

Almost surely, 24828034754300 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 4828034754300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087150268352).

4828034754300 is an abundant number, since it is smaller than the sum of its proper divisors (9346265782404).

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

4828034754300 is a wasteful number, since it uses less digits than its factorization.

4828034754300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755500 (or 755493 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 4828034754300 in words is "four trillion, eight hundred twenty-eight billion, thirty-four million, seven hundred fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 211 300 303 404 422 505 606 633 844 1010 1055 1212 1266 1515 2020 2110 2525 2532 3030 3165 4220 5050 5275 6060 6330 7575 10100 10550 12660 15150 15825 21100 21311 30300 31650 42622 63300 63933 85244 106555 127866 213110 255732 319665 426220 532775 639330 755171 1065550 1278660 1510342 1598325 2131100 2265513 3020684 3196650 3775855 4531026 6393300 7551710 9062052 11327565 15103420 18879275 22655130 37758550 45310260 56637825 75517100 76272271 113275650 152544542 159341081 226551300 228816813 305089084 318682162 381361355 457633626 478023243 637364324 762722710 796705405 915267252 956046486 1144084065 1525445420 1593410810 1906806775 1912092972 2288168130 2390116215 3186821620 3813613550 3983527025 4576336260 4780232430 5720420325 7627227100 7967054050 9560464860 11440840650 11950581075 15934108100 16093449181 22881681300 23901162150 32186898362 47802324300 48280347543 64373796724 80467245905 96560695086 160934491810 193121390172 241401737715 321868983620 402336229525 482803475430 804672459050 965606950860 1207008688575 1609344918100 2414017377150 4828034754300