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14169597056 = 273127113177
BaseRepresentation
bin11010011001001001…
…01110010010000000
31100120111121002222222
431030210232102000
5213004404101211
610302011350212
71011064405406
oct151444562200
940514532888
1014169597056
116011405a9a
1228b5452368
13144a7ac974
14985c23476
1557de841db
hex34c92e480

14169597056 has 64 divisors (see below), whose sum is σ = 29248834560. Its totient is φ = 6830438400.

The previous prime is 14169597047. The next prime is 14169597061. The reversal of 14169597056 is 65079596141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14169596989 and 14169597007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1068740 + ... + 1081916.

It is an arithmetic number, because the mean of its divisors is an integer number (457013040).

Almost surely, 214169597056 is an apocalyptic number.

14169597056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14169597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624417280).

14169597056 is an abundant number, since it is smaller than the sum of its proper divisors (15079237504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14169597056 is a wasteful number, since it uses less digits than its factorization.

14169597056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493 (or 13481 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 14169597056 in words is "fourteen billion, one hundred sixty-nine million, five hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 271 496 542 992 1084 1984 2168 3968 4336 8401 8672 13177 16802 17344 26354 33604 34688 52708 67208 105416 134416 210832 268832 408487 421664 537664 816974 843328 1075328 1633948 1686656 3267896 3570967 6535792 7141934 13071584 14283868 26143168 28567736 52286336 57135472 110699977 114270944 221399954 228541888 442799908 457083776 885599816 1771199632 3542399264 7084798528 14169597056