Search a number
-
+
5550352402400 = 2552131812948551
BaseRepresentation
bin101000011000100101011…
…0010001000011111100000
3201122121102121020220111022
41100301022302020133200
51211414110203334100
615445444030305012
71111666622665511
oct120611262103740
921577377226438
105550352402400
11184a989263163
12757841958168
1331351bc99590
141528d2030a08
159959db09e85
hex50c4ac887e0

5550352402400 has 144 divisors (see below), whose sum is σ = 14672714198688. Its totient is φ = 2038037760000.

The previous prime is 5550352402381. The next prime is 5550352402409. The reversal of 5550352402400 is 42042530555.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5550352402409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408125 + ... + 3356675.

It is an arithmetic number, because the mean of its divisors is an integer number (101893848602).

Almost surely, 25550352402400 is an apocalyptic number.

5550352402400 is a gapful number since it is divisible by the number (50) 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 5550352402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336357099344).

5550352402400 is an abundant number, since it is smaller than the sum of its proper divisors (9122361796288).

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

5550352402400 is a wasteful number, since it uses less digits than its factorization.

5550352402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948765 (or 2948752 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

Adding to 5550352402400 its reverse (42042530555), we get a palindrome (5592394932955).

The spelling of 5550352402400 in words is "five trillion, five hundred fifty billion, three hundred fifty-two million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 181 200 208 260 325 362 400 416 520 650 724 800 905 1040 1300 1448 1810 2080 2353 2600 2896 3620 4525 4706 5200 5792 7240 9050 9412 10400 11765 14480 18100 18824 23530 28960 36200 37648 47060 58825 72400 75296 94120 117650 144800 188240 235300 376480 470600 941200 1882400 2948551 5897102 11794204 14742755 23588408 29485510 38331163 47176816 58971020 73713775 76662326 94353632 117942040 147427550 153324652 191655815 235884080 294855100 306649304 383311630 471768160 533687731 589710200 613298608 766623260 958279075 1067375462 1179420400 1226597216 1533246520 1916558150 2134750924 2358840800 2668438655 3066493040 3833116300 4269501848 5336877310 6132986080 6937940503 7666232600 8539003696 10673754620 13342193275 13875881006 15332465200 17078007392 21347509240 26684386550 27751762012 30664930400 34689702515 42695018480 53368773100 55503524024 69379405030 85390036960 106737546200 111007048048 138758810060 173448512575 213475092400 222014096096 277517620120 346897025150 426950184800 555035240240 693794050300 1110070480480 1387588100600 2775176201200 5550352402400