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13427116343204 = 22611693279711621
BaseRepresentation
bin1100001101100011111001…
…1111111111111110100100
31202112121201211020212011212
43003120332133333332210
53224442213240440304
644320155422050552
72554035313536524
oct303307637777644
952477654225155
1013427116343204
11430745414a093
12160a322119a58
13765230120945
14345c39673684
1518440b94766e
hexc363e7fffa4

13427116343204 has 48 divisors (see below), whose sum is σ = 23907365257776. Its totient is φ = 6596672140800.

The previous prime is 13427116343167. The next prime is 13427116343237. The reversal of 13427116343204 is 40234361172431.

It can be written as a sum of positive squares in 8 ways, for example, as 2994526420900 + 10432589922304 = 1730470^2 + 3229952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155412514 + ... + 1155424134.

It is an arithmetic number, because the mean of its divisors is an integer number (498070109537).

Almost surely, 213427116343204 is an apocalyptic number.

It is an amenable number.

13427116343204 is a deficient number, since it is larger than the sum of its proper divisors (10480248914572).

13427116343204 is a wasteful number, since it uses less digits than its factorization.

13427116343204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16176 (or 16174 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 13427116343204 in words is "thirteen trillion, four hundred twenty-seven billion, one hundred sixteen million, three hundred forty-three thousand, two hundred four".

Divisors: 1 2 4 61 122 244 1693 2797 3386 5594 6772 11188 11621 23242 46484 103273 170617 206546 341234 413092 682468 708881 1417762 2835524 4735321 9470642 18941284 19674353 32503937 39348706 65007874 78697412 130015748 288854581 577709162 1155418324 1200135533 1982740157 2400271066 3965480314 4800542132 7930960628 55029165341 110058330682 220116661364 3356779085801 6713558171602 13427116343204