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16346055118848 = 2123713314779127
BaseRepresentation
bin1110110111011101110011…
…0011110001000000000000
32010212200000200112021111020
43231313130303301000000
54120303210102300343
654433135110145440
73304651325004510
oct355673463610000
963780020467436
1016346055118848
115232360a79164
1219bbb84952280
139175709c3520
144072208a7840
151d52e9945b83
hexedddccf1000

16346055118848 has 1664 divisors, whose sum is σ = 57717314027520. Its totient is φ = 3999785287680.

The previous prime is 16346055118837. The next prime is 16346055118889. The reversal of 16346055118848 is 84881155064361.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a junction number, because it is equal to n+sod(n) for n = 16346055118791 and 16346055118800.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128709095361 + ... + 128709095487.

Almost surely, 216346055118848 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 16346055118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858657013760).

16346055118848 is an abundant number, since it is smaller than the sum of its proper divisors (41371258908672).

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

16346055118848 is a wasteful number, since it uses less digits than its factorization.

16346055118848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 16346055118848 in words is "sixteen trillion, three hundred forty-six billion, fifty-five million, one hundred eighteen thousand, eight hundred forty-eight".