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13937011106288 = 242951475835761
BaseRepresentation
bin1100101011001111011010…
…0110001010000111110000
31211100100212021012121122012
43022303312212022013300
53311320444320400123
645350324032302052
72635626061525034
oct312636646120760
954310767177565
1013937011106288
114493720483536
1216911049a1928
137a13402007ca
143627aaa641c4
1519280109c378
hexcacf698a1f0

13937011106288 has 40 divisors (see below), whose sum is σ = 27939527581680. Its totient is φ = 6726903895040.

The previous prime is 13937011106149. The next prime is 13937011106303. The reversal of 13937011106288 is 88260111073931.

It is a happy number.

13937011106288 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529673 + ... + 5306088.

It is an arithmetic number, because the mean of its divisors is an integer number (698488189542).

Almost surely, 213937011106288 is an apocalyptic number.

It is an amenable number.

13937011106288 is an abundant number, since it is smaller than the sum of its proper divisors (14002516475392).

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

13937011106288 is a wasteful number, since it uses less digits than its factorization.

13937011106288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840945 (or 5840939 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 13937011106288 in words is "thirteen trillion, nine hundred thirty-seven billion, eleven million, one hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 5147 10294 20588 41176 82352 149263 298526 597052 1194104 2388208 5835761 11671522 23343044 46686088 93372176 169237069 338474138 676948276 1353896552 2707793104 30036661867 60073323734 120146647468 240293294936 480586589872 871063194143 1742126388286 3484252776572 6968505553144 13937011106288