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253317333313420 = 225120115101698371
BaseRepresentation
bin111001100110010000001001…
…101010101110011110001100
31020012220220022111200011212121
4321212100021222232132030
5231200322344312012140
62254432213144342324
7104233400444665015
oct7146201152563614
91205826274604777
10253317333313420
1173795306760322
12244b271a4749a4
13ab469503c6a0c
14467a8a530c00c
151e445726b864a
hexe66409aae78c

253317333313420 has 48 divisors (see below), whose sum is σ = 532445355148896. Its totient is φ = 101235715200000.

The previous prime is 253317333313379. The next prime is 253317333313427. The reversal of 253317333313420 is 24313333713352.

It is a super-2 number, since 2×2533173333134202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253317333313427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 362376835 + ... + 363075205.

It is an arithmetic number, because the mean of its divisors is an integer number (11092611565602).

Almost surely, 2253317333313420 is an apocalyptic number.

253317333313420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253317333313420 is an abundant number, since it is smaller than the sum of its proper divisors (279128021835476).

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

253317333313420 is a wasteful number, since it uses less digits than its factorization.

253317333313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714682 (or 714680 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 43.

The spelling of 253317333313420 in words is "two hundred fifty-three trillion, three hundred seventeen billion, three hundred thirty-three million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1201 2402 4804 6005 12010 15101 24020 30202 60404 75505 151010 302020 698371 1396742 2793484 3491855 6983710 13967420 18136301 36272602 72545204 90681505 181363010 362726020 838743571 1677487142 3354974284 4193717855 8387435710 10546100471 16774871420 21092200942 42184401884 52730502355 105461004710 210922009420 12665866665671 25331733331342 50663466662684 63329333328355 126658666656710 253317333313420