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19181171154041 = 13149241267715349
BaseRepresentation
bin1000101110001111101101…
…11001001001110001111001
32111220200221210112021201222
410113013312321021301321
510003231014303412131
6104443413002121425
74016536205460131
oct427076671116171
974820853467658
1019181171154041
116125764078726
1221995334b0275
13a91a134942c0
144a4533391ac1
15233e2da6687b
hex1171f6e49c79

19181171154041 has 32 divisors (see below), whose sum is σ = 20890729860000. Its totient is φ = 17506208747520.

The previous prime is 19181171154031. The next prime is 19181171154059. The reversal of 19181171154041 is 14045117118191.

It can be written as a sum of positive squares in 16 ways, for example, as 14977867515625 + 4203303638416 = 3870125^2 + 2050196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19181171154041 is a prime.

It is a super-2 number, since 2×191811711540412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19181171153983 and 19181171154001.

It is not an unprimeable number, because it can be changed into a prime (19181171154031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249661435 + ... + 1249676783.

It is an arithmetic number, because the mean of its divisors is an integer number (652835308125).

Almost surely, 219181171154041 is an apocalyptic number.

It is an amenable number.

19181171154041 is a deficient number, since it is larger than the sum of its proper divisors (1709558705959).

19181171154041 is a wasteful number, since it uses less digits than its factorization.

19181171154041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429.

The product of its (nonzero) digits is 40320, while the sum is 44.

The spelling of 19181171154041 in words is "nineteen trillion, one hundred eighty-one billion, one hundred seventy-one million, one hundred fifty-four thousand, forty-one".

Divisors: 1 13 149 241 1937 2677 3133 15349 34801 35909 199537 398873 466817 645157 2287001 3699109 5185349 8387041 29731013 41089273 48088417 96128393 534160549 551167241 1249669109 6122301677 7165174133 9902514793 79589921801 128732692309 1475474704157 19181171154041