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54005425312344 = 23311207269986959
BaseRepresentation
bin11000100011110000111100…
…01100010001001001011000
321002012212102221112101111020
430101320132030101021120
524034311102334443334
6310505425550402440
714242522533006342
oct1421703614211130
9232185387471436
1054005425312344
1116231632741170
126082743800420
1324198c7511cac
14d49c3b2bc292
15639c12084e49
hex311e1e311258

54005425312344 has 64 divisors (see below), whose sum is σ = 147288383424000. Its totient is φ = 16365184859520.

The previous prime is 54005425312331. The next prime is 54005425312379. The reversal of 54005425312344 is 44321352450045.

It is a junction number, because it is equal to n+sod(n) for n = 54005425312296 and 54005425312305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54225537 + ... + 55212495.

It is an arithmetic number, because the mean of its divisors is an integer number (2301380991000).

Almost surely, 254005425312344 is an apocalyptic number.

It is an amenable number.

54005425312344 is an abundant number, since it is smaller than the sum of its proper divisors (93282958111656).

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

54005425312344 is a wasteful number, since it uses less digits than its factorization.

54005425312344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194248 (or 1194244 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 54005425312344 its reverse (44321352450045), we get a palindrome (98326777762389).

The spelling of 54005425312344 in words is "fifty-four trillion, five billion, four hundred twenty-five million, three hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 207269 414538 621807 829076 986959 1243614 1658152 1973918 2279959 2487228 2960877 3947836 4559918 4974456 5921754 6839877 7895672 9119836 10856549 11843508 13679754 18239672 21713098 23687016 27359508 32569647 43426196 54719016 65139294 86852392 130278588 260557176 204566004971 409132009942 613698014913 818264019884 1227396029826 1636528039768 2250226054681 2454792059652 4500452109362 4909584119304 6750678164043 9000904218724 13501356328086 18001808437448 27002712656172 54005425312344