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13788626656 = 2572831011049
BaseRepresentation
bin11001101011101110…
…11011111011100000
31022120221201210212011
430311313123323200
5211214342023111
610200122042304
7665460251500
oct146567337340
938527653764
1013788626656
115936358322
122809949394
1313b98a1bac
1494b3b3a00
1555a7ce021
hex335ddbee0

13788626656 has 144 divisors (see below), whose sum is σ = 32306072400. Its totient is φ = 5774899200.

The previous prime is 13788626641. The next prime is 13788626659. The reversal of 13788626656 is 65662688731.

It is a self number, because there is not a number n which added to its sum of digits gives 13788626656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13788626659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13144020 + ... + 13145068.

It is an arithmetic number, because the mean of its divisors is an integer number (224347725).

Almost surely, 213788626656 is an apocalyptic number.

13788626656 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 13788626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153036200).

13788626656 is an abundant number, since it is smaller than the sum of its proper divisors (18517445744).

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

13788626656 is a wasteful number, since it uses less digits than its factorization.

13788626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1242 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 58.

The spelling of 13788626656 in words is "thirteen billion, seven hundred eighty-eight million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 101 112 166 196 202 224 332 392 404 581 664 707 784 808 1049 1162 1328 1414 1568 1616 2098 2324 2656 2828 3232 4067 4196 4648 4949 5656 7343 8134 8383 8392 9296 9898 11312 14686 16268 16766 16784 18592 19796 22624 29372 32536 33532 33568 39592 51401 58681 58744 65072 67064 79184 87067 102802 105949 117362 117488 130144 134128 158368 174134 205604 211898 234724 234976 268256 348268 410767 411208 423796 469448 609469 696536 741643 821534 822416 847592 938896 1218938 1393072 1483286 1643068 1644832 1695184 1877792 2437876 2786144 2966572 3286136 3390368 4266283 4875752 5191501 5933144 6572272 8532566 8793767 9751504 10383002 11866288 13144544 17065132 17587534 19503008 20766004 23732576 34130264 35175068 41532008 61556369 68260528 70350136 83064016 123112738 136521056 140700272 166128032 246225476 281400544 430894583 492450952 861789166 984901904 1723578332 1969803808 3447156664 6894313328 13788626656