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48929201200 = 24521143258611
BaseRepresentation
bin101101100100011010…
…000101110000110000
311200021221220221211001
4231210122011300300
51300201333414300
634251110331344
73351340230235
oct554432056060
9150257827731
1048929201200
1119829293070
129596359b54
1347c9c74579
14252243378c
15141587b16a
hexb64685c30

48929201200 has 120 divisors (see below), whose sum is σ = 131221797696. Its totient is φ = 17378592000.

The previous prime is 48929201177. The next prime is 48929201207. The reversal of 48929201200 is 210292984.

It is a self number, because there is not a number n which added to its sum of digits gives 48929201200.

It is not an unprimeable number, because it can be changed into a prime (48929201207) 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, 59895 + ... + 318505.

Almost surely, 248929201200 is an apocalyptic number.

48929201200 is a gapful number since it is divisible by the number (40) 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 48929201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610898848).

48929201200 is an abundant number, since it is smaller than the sum of its proper divisors (82292596496).

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

48929201200 is a wasteful number, since it uses less digits than its factorization.

48929201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258683 (or 258672 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 48929201200 in words is "forty-eight billion, nine hundred twenty-nine million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 400 430 440 473 550 688 860 880 946 1075 1100 1720 1892 2150 2200 2365 3440 3784 4300 4400 4730 7568 8600 9460 11825 17200 18920 23650 37840 47300 94600 189200 258611 517222 1034444 1293055 2068888 2586110 2844721 4137776 5172220 5689442 6465275 10344440 11120273 11378884 12930550 14223605 20688880 22240546 22757768 25861100 28447210 44481092 45515536 51722200 55601365 56894420 71118025 88962184 103444400 111202730 113788840 122323003 142236050 177924368 222405460 227577680 244646006 278006825 284472100 444810920 489292012 556013650 568944200 611615015 889621840 978584024 1112027300 1137888400 1223230030 1957168048 2224054600 2446460060 3058075075 4448109200 4892920120 6116150150 9785840240 12232300300 24464600600 48929201200