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13354585344 = 2834644029
BaseRepresentation
bin11000110111111111…
…01100110100000000
31021110201000020010000
430123333230310000
5204322233212334
610045055040000
7651640050102
oct143377546400
937421006100
1013354585344
1157333516a1
122708510000
13134a9a2009
149098ab572
15532644299
hex31bfecd00

13354585344 has 90 divisors (see below), whose sum is σ = 39821018930. Its totient is φ = 4451521536.

The previous prime is 13354585241. The next prime is 13354585351. The reversal of 13354585344 is 44358545331.

13354585344 is a `hidden beast` number, since 1 + 3 + 35 + 4 + 585 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13204767744 + 149817600 = 114912^2 + 12240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13354585344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 301279 + ... + 342750.

Almost surely, 213354585344 is an apocalyptic number.

It is an amenable number.

13354585344 is an abundant number, since it is smaller than the sum of its proper divisors (26466433586).

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

13354585344 is an frugal number, since it uses more digits than its factorization.

13354585344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644057 (or 644034 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 13354585344 in words is "thirteen billion, three hundred fifty-four million, five hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 644029 1288058 1932087 2576116 3864174 5152232 5796261 7728348 10304464 11592522 15456696 17388783 20608928 23185044 30913392 34777566 41217856 46370088 52166349 61826784 69555132 82435712 92740176 104332698 123653568 139110264 164871424 185480352 208665396 247307136 278220528 370960704 417330792 494614272 556441056 741921408 834661584 1112882112 1483842816 1669323168 2225764224 3338646336 4451528448 6677292672 13354585344