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20352353420400 = 2435216960294517
BaseRepresentation
bin1001010000010101001101…
…10010111100010001110000
32200001122222111120211220020
410220022212302330101300
510131423104433423100
6111141424142443440
74200260201463051
oct450124662742160
980048874524806
1020352353420400
116537425a14a21
122348509b93580
13b482ac60c6c1
145050b84a6728
1525462880e5a0
hex1282a6cbc470

20352353420400 has 60 divisors (see below), whose sum is σ = 65195372127192. Its totient is φ = 5427294245120.

The previous prime is 20352353420381. The next prime is 20352353420401. The reversal of 20352353420400 is 402435325302.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20352353420401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8480146059 + ... + 8480148458.

Almost surely, 220352353420400 is an apocalyptic number.

20352353420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20352353420400 is an abundant number, since it is smaller than the sum of its proper divisors (44843018706792).

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

20352353420400 is a wasteful number, since it uses less digits than its factorization.

20352353420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16960294538 (or 16960294527 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 20352353420400 its reverse (402435325302), we get a palindrome (20754788745702).

The spelling of 20352353420400 in words is "twenty trillion, three hundred fifty-two billion, three hundred fifty-three million, four hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16960294517 33920589034 50880883551 67841178068 84801472585 101761767102 135682356136 169602945170 203523534204 254404417755 271364712272 339205890340 407047068408 424007362925 508808835510 678411780680 814094136816 848014725850 1017617671020 1272022088775 1356823561360 1696029451700 2035235342040 2544044177550 3392058903400 4070470684080 5088088355100 6784117806800 10176176710200 20352353420400