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12438083524905 = 3251961265989689
BaseRepresentation
bin1011010011111111011110…
…0011001101100100101001
31122001001212102111222200200
42310333313203031210221
53112241143340244110
642241550544222413
72422423206356253
oct264776743154451
948031772458620
1012438083524905
113a65a63987125
12148a70100aa09
136c2ba202ba3c
143100139d6cd3
15168822e3b6c0
hexb4ff78cd929

12438083524905 has 96 divisors (see below), whose sum is σ = 23075012688000. Its totient is φ = 6179087047680.

The previous prime is 12438083524903. The next prime is 12438083524949. The reversal of 12438083524905 is 50942538083421.

12438083524905 is a `hidden beast` number, since 1 + 2 + 4 + 38 + 0 + 83 + 524 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 12438083524905 - 21 = 12438083524903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12438083524903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138635301 + ... + 138724989.

It is an arithmetic number, because the mean of its divisors is an integer number (240364715500).

Almost surely, 212438083524905 is an apocalyptic number.

12438083524905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12438083524905 is a deficient number, since it is larger than the sum of its proper divisors (10636929163095).

12438083524905 is a wasteful number, since it uses less digits than its factorization.

12438083524905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92439 (or 92436 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 12438083524905 in words is "twelve trillion, four hundred thirty-eight billion, eighty-three million, five hundred twenty-four thousand, nine hundred five".

Divisors: 1 3 5 9 15 19 45 57 61 95 171 183 285 305 549 855 915 1159 2659 2745 3477 5795 7977 10431 13295 17385 23931 39885 50521 52155 89689 119655 151563 162199 252605 269067 448445 454689 486597 757815 807201 810995 1345335 1459791 1704091 2273445 2432985 3081781 4036005 5112273 5471029 7298955 8520455 9245343 15336819 15408905 16413087 25561365 27355145 27736029 46226715 49239261 76684095 82065435 103949551 138680145 238483051 246196305 311848653 519747755 715449153 935545959 1192415255 1559243265 2146347459 3577245765 4531177969 4677729795 10731737295 13593533907 14547466111 22655889845 40780601721 43642398333 67967669535 72737330555 130927194999 203903008605 218211991665 276401856109 654635974995 829205568327 1382009280545 2487616704981 4146027841635 12438083524905