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21686834041107 = 31910133253115459
BaseRepresentation
bin1001110111001010111000…
…00010100001000100010011
32211210020111202022022121120
410323211130002201010103
510320304114003303412
6114042443301453323
74365551651551434
oct473453402410423
984706452268546
1021686834041107
116a01375494864
122523078a11243
13c140a114b991
1454d91119d48b
152791ce8beb8c
hex13b95c0a1113

21686834041107 has 32 divisors (see below), whose sum is σ = 30477338860800. Its totient is φ = 13679101763712.

The previous prime is 21686834041091. The next prime is 21686834041127. The reversal of 21686834041107 is 70114043868612.

It is not a de Polignac number, because 21686834041107 - 24 = 21686834041091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21686834041107.

It is not an unprimeable number, because it can be changed into a prime (21686834041127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 187773744 + ... + 187889202.

It is an arithmetic number, because the mean of its divisors is an integer number (952416839400).

Almost surely, 221686834041107 is an apocalyptic number.

21686834041107 is a deficient number, since it is larger than the sum of its proper divisors (8790504819693).

21686834041107 is a wasteful number, since it uses less digits than its factorization.

21686834041107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119747.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 21686834041107 in words is "twenty-one trillion, six hundred eighty-six billion, eight hundred thirty-four million, forty-one thousand, one hundred seven".

Divisors: 1 3 19 57 1013 3039 3253 9759 19247 57741 61807 115459 185421 346377 2193721 3295289 6581163 9885867 62610491 116959967 187831473 350879901 375588127 1126764381 2222239373 6666718119 7136174413 21408523239 380470772651 1141412317953 7228944680369 21686834041107