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253553315224000 = 26531121134914721
BaseRepresentation
bin111001101001101011111011…
…010010010001100111000000
31020020202110102111021022101211
4321221223323102101213000
5231213204142144132000
62255132441315535504
7104256423343065301
oct7151537322214700
91206673374238354
10253553315224000
11738763a2360500
12245303b82ba594
13ab62c8a1b212c
1446880900987a8
151e4a7849c97ba
hexe69afb4919c0

253553315224000 has 672 divisors, whose sum is σ = 697872197969856. Its totient is φ = 91179827200000.

The previous prime is 253553315223917. The next prime is 253553315224031. The reversal of 253553315224000 is 422513355352.

253553315224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2535533152240002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53707541640 + ... + 53707546360.

It is an arithmetic number, because the mean of its divisors is an integer number (1038500294598).

Almost surely, 2253553315224000 is an apocalyptic number.

253553315224000 is a gapful number since it is divisible by the number (20) 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 253553315224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348936098984928).

253553315224000 is an abundant number, since it is smaller than the sum of its proper divisors (444318882745856).

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

253553315224000 is a wasteful number, since it uses less digits than its factorization.

253553315224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

Adding to 253553315224000 its reverse (422513355352), we get a palindrome (253975828579352).

The spelling of 253553315224000 in words is "two hundred fifty-three trillion, five hundred fifty-three billion, three hundred fifteen million, two hundred twenty-four thousand".