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13788254098128 = 2431991916451251
BaseRepresentation
bin1100100010100101001111…
…1111001101001011010000
31210211010220010122122000110
43020221103333031023100
53301401321022120003
645154123025321320
72622111535030506
oct310512377151320
953733803578013
1013788254098128
114436624a85574
12166830a496240
137902c43190a3
143594d83d4676
1518d9e669ba03
hexc8a53fcd2d0

13788254098128 has 80 divisors (see below), whose sum is σ = 37535176563200. Its totient is φ = 4349447280000.

The previous prime is 13788254098121. The next prime is 13788254098217. The reversal of 13788254098128 is 82189045288731.

It is a happy number.

13788254098128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13788254098121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387498 + ... + 9063753.

It is an arithmetic number, because the mean of its divisors is an integer number (469189707040).

Almost surely, 213788254098128 is an apocalyptic number.

It is an amenable number.

13788254098128 is an abundant number, since it is smaller than the sum of its proper divisors (23746922465072).

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

13788254098128 is a wasteful number, since it uses less digits than its factorization.

13788254098128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16452200 (or 16452194 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 66.

The spelling of 13788254098128 in words is "thirteen trillion, seven hundred eighty-eight billion, two hundred fifty-four million, ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 919 1838 2757 3676 5514 7352 11028 14704 17461 22056 34922 44112 52383 69844 104766 139688 209532 279376 419064 838128 16451251 32902502 49353753 65805004 98707506 131610008 197415012 263220016 312573769 394830024 625147538 789660048 937721307 1250295076 1875442614 2500590152 3750885228 5001180304 7501770456 15003540912 15118699669 30237399338 45356099007 60474798676 90712198014 120949597352 181424396028 241899194704 287255293711 362848792056 574510587422 725697584112 861765881133 1149021174844 1723531762266 2298042349688 3447063524532 4596084699376 6894127049064 13788254098128