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16676844416928 = 253257905709781
BaseRepresentation
bin1111001010101110000101…
…1000110010111110100000
32012001021211221221201000200
43302223201120302332200
54141213134132320203
655245123032545200
73340601515440453
oct362534130627640
965037757851020
1016676844416928
11534a6789aa853
121a54101552200
1393c809590bb7
14419240bd549a
151ddc0a18e9a3
hexf2ae1632fa0

16676844416928 has 36 divisors (see below), whose sum is σ = 47424776311458. Its totient is φ = 5558948138880.

The previous prime is 16676844416923. The next prime is 16676844416951. The reversal of 16676844416928 is 82961444867661.

16676844416928 is a `hidden beast` number, since 1 + 6 + 67 + 68 + 4 + 4 + 416 + 92 + 8 = 666.

16676844416928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12525568565904 + 4151275851024 = 3539148^2 + 2037468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (16676844416923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28952854603 + ... + 28952855178.

Almost surely, 216676844416928 is an apocalyptic number.

16676844416928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16676844416928 is an abundant number, since it is smaller than the sum of its proper divisors (30747931894530).

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

16676844416928 is a wasteful number, since it uses less digits than its factorization.

16676844416928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57905709797 (or 57905709786 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 16676844416928 in words is "sixteen trillion, six hundred seventy-six billion, eight hundred forty-four million, four hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 57905709781 115811419562 173717129343 231622839124 347434258686 463245678248 521151388029 694868517372 926491356496 1042302776058 1389737034744 1852982712992 2084605552116 2779474069488 4169211104232 5558948138976 8338422208464 16676844416928