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13788626048 = 279721072
BaseRepresentation
bin11001101011101110…
…11011110010000000
31022120221201210000122
430311313123302000
5211214342013143
610200122035412
7665460246641
oct146567336200
938527653018
1013788626048
11593635791a
122809948b68
1313b98a1832
1494b3b36c8
1555a7cdc68
hex335ddbc80

13788626048 has 72 divisors (see below), whose sum is σ = 28017461745. Its totient is φ = 6759469056.

The previous prime is 13788626029. The next prime is 13788626051. The reversal of 13788626048 is 84062688731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13752721984 + 35904064 = 117272^2 + 5992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83032.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128865611 + ... + 128865717.

Almost surely, 213788626048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13788626048

13788626048 is an abundant number, since it is smaller than the sum of its proper divisors (14228835697).

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

13788626048 is an frugal number, since it uses more digits than its factorization.

13788626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 13788626048 in words is "thirteen billion, seven hundred eighty-eight million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 97 107 128 194 214 388 428 776 856 1552 1712 3104 3424 6208 6848 9409 10379 11449 12416 13696 18818 20758 22898 37636 41516 45796 75272 83032 91592 150544 166064 183184 301088 332128 366368 602176 664256 732736 1006763 1110553 1204352 1328512 1465472 2013526 2221106 4027052 4442212 8054104 8884424 16108208 17768848 32216416 35537696 64432832 71075392 107723641 128865664 142150784 215447282 430894564 861789128 1723578256 3447156512 6894313024 13788626048