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13826143602953 = 117154881322573
BaseRepresentation
bin1100100100110010011001…
…1000001100100100001001
31210221202200201102220101222
43021030212120030210021
53303011420230243303
645223350453051425
72624622504353243
oct311144630144411
953852621386358
1013826143602953
1144506a8687320
121673723626b75
13793a52077726
1435b290583093
1518e9b2c46938
hexc932660c909

13826143602953 has 16 divisors (see below), whose sum is σ = 15295829415552. Its totient is φ = 12391925952000.

The previous prime is 13826143602937. The next prime is 13826143602989. The reversal of 13826143602953 is 35920634162831.

It is a cyclic number.

It is not a de Polignac number, because 13826143602953 - 24 = 13826143602937 is a prime.

It is a super-2 number, since 2×138261436029532 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13826143602895 and 13826143602904.

It is not an unprimeable number, because it can be changed into a prime (13826143602253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42700775 + ... + 43023347.

It is an arithmetic number, because the mean of its divisors is an integer number (955989338472).

Almost surely, 213826143602953 is an apocalyptic number.

It is an amenable number.

13826143602953 is a deficient number, since it is larger than the sum of its proper divisors (1469685812599).

13826143602953 is a wasteful number, since it uses less digits than its factorization.

13826143602953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377536.

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 13826143602953 in words is "thirteen trillion, eight hundred twenty-six billion, one hundred forty-three million, six hundred two thousand, nine hundred fifty-three".

Divisors: 1 11 71 781 54881 322573 603691 3548303 3896551 22902683 42862061 251929513 17703128813 194734416943 1256922145723 13826143602953