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54029348351946 = 23311147011618719
BaseRepresentation
bin11000100100011101100000…
…00111011010111111001010
321002022011012011221201101000
430102032300013122333022
524040204101134230241
6310524423500235430
714244330422333442
oct1422166007327712
9232264164851330
1054029348351946
1116240799669980
1260872bb53bb76
13241bc3a8a3626
14d4b06a603122
1563a662422eb6
hex3123b01dafca

54029348351946 has 64 divisors (see below), whose sum is σ = 130981341081600. Its totient is φ = 16372391972400.

The previous prime is 54029348351873. The next prime is 54029348351947. The reversal of 54029348351946 is 64915384392045.

It is a happy number.

54029348351946 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 9 + 34 + 83 + 519 + 4 + 6 = 666.

54029348351946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54029348351947) 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, 87015175 + ... + 87633893.

It is an arithmetic number, because the mean of its divisors is an integer number (2046583454400).

Almost surely, 254029348351946 is an apocalyptic number.

54029348351946 is an abundant number, since it is smaller than the sum of its proper divisors (76951992729654).

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

54029348351946 is a wasteful number, since it uses less digits than its factorization.

54029348351946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765752 (or 765746 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 54029348351946 in words is "fifty-four trillion, twenty-nine billion, three hundred forty-eight million, three hundred fifty-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 147011 294022 441033 618719 882066 1237438 1323099 1617121 1856157 2646198 3234242 3712314 3969297 4851363 5568471 6805909 7938594 9702726 11136942 13611818 14554089 16705413 20417727 29108178 33410826 40835454 43662267 61253181 87324534 122506362 183759543 367519086 90958498909 181916997818 272875496727 545750993454 818626490181 1000543487999 1637252980362 2001086975998 2455879470543 3001630463997 4911758941086 6003260927994 9004891391991 18009782783982 27014674175973 54029348351946