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52420305050400 = 2535273120256253
BaseRepresentation
bin10111110101101000011011…
…01010010101101100100000
320212121022222012002220211110
423322310031222111230200
523332323241043103100
6303253320010143320
714020146012046650
oct1372641552255440
9225538865086743
1052420305050400
1115780365674161
125a674a6121b40
1323332a1248ab1
14cd3228c6c360
1560d88be5c250
hex2fad0da95b20

52420305050400 has 144 divisors (see below), whose sum is σ = 195003534849984. Its totient is φ = 11981784007680.

The previous prime is 52420305050363. The next prime is 52420305050447. The reversal of 52420305050400 is 405050302425.

52420305050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1560111327 + ... + 1560144926.

It is an arithmetic number, because the mean of its divisors is an integer number (1354191214236).

Almost surely, 252420305050400 is an apocalyptic number.

52420305050400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52420305050400 is an abundant number, since it is smaller than the sum of its proper divisors (142583229799584).

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

52420305050400 is a wasteful number, since it uses less digits than its factorization.

52420305050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120256283 (or 3120256270 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 52420305050400 its reverse (405050302425), we get a palindrome (52825355352825).

The spelling of 52420305050400 in words is "fifty-two trillion, four hundred twenty billion, three hundred five million, fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 3120256253 6240512506 9360768759 12481025012 15601281265 18721537518 21841793771 24962050024 31202562530 37443075036 43683587542 46803843795 49924100048 62405125060 65525381313 74886150072 78006406325 87367175084 93607687590 99848200096 109208968855 124810250120 131050762626 149772300144 156012812650 174734350168 187215375180 218417937710 234019218975 249620500240 262101525252 299544600288 312025625300 327626906565 349468700336 374430750360 436835875420 468038437950 499241000480 524203050504 546044844275 624051250600 655253813130 698937400672 748861500720 873671750840 936076875900 1048406101008 1092089688550 1248102501200 1310507626260 1497723001440 1638134532825 1747343501680 1872153751800 2096812202016 2184179377100 2496205002400 2621015252520 3276269065650 3494687003360 3744307503600 4368358754200 5242030505040 6552538131300 7488615007200 8736717508400 10484061010080 13105076262600 17473435016800 26210152525200 52420305050400