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55431251350431 = 31117418432361397
BaseRepresentation
bin11001001101010000110000…
…00010111101001110011111
321021021011202012202212000020
430212220120002331032133
524231141200321203211
6313520433151003223
714450530040242155
oct1446503002751637
9237234665685006
1055431251350431
1116731297330090
126272b45b09513
1324c11b5820ab8
14d98c5b8573d5
15661d62684306
hex326a180bd39f

55431251350431 has 32 divisors (see below), whose sum is σ = 85372131955968. Its totient is φ = 31617770058240.

The previous prime is 55431251350399. The next prime is 55431251350459. The reversal of 55431251350431 is 13405315213455.

55431251350431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55431251350431 - 25 = 55431251350399 is a prime.

It is a super-2 number, since 2×554312513504312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55431251350481) 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 31 ways as a sum of consecutive naturals, for example, 22293225 + ... + 24654621.

It is an arithmetic number, because the mean of its divisors is an integer number (2667879123624).

Almost surely, 255431251350431 is an apocalyptic number.

55431251350431 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

55431251350431 is a deficient number, since it is larger than the sum of its proper divisors (29940880605537).

55431251350431 is a wasteful number, since it uses less digits than its factorization.

55431251350431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403271.

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 55431251350431 its reverse (13405315213455), we get a palindrome (68836566563886).

The spelling of 55431251350431 in words is "fifty-five trillion, four hundred thirty-one billion, two hundred fifty-one million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 41843 125529 460273 711331 1380819 2133993 2361397 7084191 7824641 23473923 25975367 40143749 77926101 120431247 441581239 1324743717 98807934671 296423804013 1086887281381 1679734889407 3260661844143 5039204668221 18477083783477 55431251350431