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13399900416 = 28337276949
BaseRepresentation
bin11000111101011001…
…00100000100000000
31021120212021110201000
430132230210010000
5204420333303131
610053354212000
7653030163030
oct143654440400
937525243630
1013399900416
115756992571
12271b724000
1313571a9b76
149119058c0
155365e5ce6
hex31eb24100

13399900416 has 144 divisors (see below), whose sum is σ = 45286864000. Its totient is φ = 3828529152.

The previous prime is 13399900373. The next prime is 13399900471. The reversal of 13399900416 is 61400999331.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90091 + ... + 186858.

Almost surely, 213399900416 is an apocalyptic number.

13399900416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13399900416 is an abundant number, since it is smaller than the sum of its proper divisors (31886963584).

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

13399900416 is an equidigital number, since it uses as much as digits as its factorization.

13399900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276981 (or 276961 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 13399900416 in words is "thirteen billion, three hundred ninety-nine million, nine hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 276949 553898 830847 1107796 1661694 1938643 2215592 2492541 3323388 3877286 4431184 4985082 5815929 6646776 7477623 7754572 8862368 9970164 11631858 13293552 14955246 15509144 17447787 17724736 19940328 23263716 26587104 29910492 31018288 34895574 35449472 39880656 46527432 52343361 53174208 59820984 62036576 69791148 70898944 79761312 93054864 104686722 106348416 119641968 124073152 139582296 159522624 186109728 209373444 212696832 239283936 248146304 279164592 319045248 372219456 418746888 478567872 496292608 558329184 638090496 744438912 837493776 957135744 1116658368 1488877824 1674987552 1914271488 2233316736 3349975104 4466633472 6699950208 13399900416