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16655629440 = 27359789431
BaseRepresentation
bin11111000001100000…
…01011110010000000
31120222202111122022110
433200300023302000
5233102320120230
611352415535320
71126512341262
oct174060136200
946882448273
1016655629440
117077739a0a
123289b2a540
13175585b648
14b40079b32
156773514b0
hex3e0c0bc80

16655629440 has 128 divisors (see below), whose sum is σ = 53637736320. Its totient is φ = 4395663360.

The previous prime is 16655629429. The next prime is 16655629447. The reversal of 16655629440 is 4492655661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16655629440.

It is not an unprimeable number, because it can be changed into a prime (16655629447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141525 + ... + 230955.

It is an arithmetic number, because the mean of its divisors is an integer number (419044815).

Almost surely, 216655629440 is an apocalyptic number.

16655629440 is a gapful number since it is divisible by the number (10) 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 16655629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26818868160).

16655629440 is an abundant number, since it is smaller than the sum of its proper divisors (36982106880).

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

16655629440 is an equidigital number, since it uses as much as digits as its factorization.

16655629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89550 (or 89538 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 16655629440 in words is "sixteen billion, six hundred fifty-five million, six hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 291 320 384 388 480 485 582 640 776 960 970 1164 1455 1552 1920 1940 2328 2910 3104 3880 4656 5820 6208 7760 9312 11640 12416 15520 18624 23280 31040 37248 46560 62080 89431 93120 178862 186240 268293 357724 447155 536586 715448 894310 1073172 1341465 1430896 1788620 2146344 2682930 2861792 3577240 4292688 5365860 5723584 7154480 8585376 8674807 10731720 11447168 14308960 17170752 17349614 21463440 26024421 28617920 34341504 34699228 42926880 43374035 52048842 57235840 69398456 85853760 86748070 104097684 130122105 138796912 171707520 173496140 208195368 260244210 277593824 346992280 416390736 520488420 555187648 693984560 832781472 1040976840 1110375296 1387969120 1665562944 2081953680 2775938240 3331125888 4163907360 5551876480 8327814720 16655629440