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16806666240 = 213335713167
BaseRepresentation
bin11111010011100000…
…10110000000000000
31121101021201002212000
433221300112000000
5233410001304430
611415413104000
71133325206640
oct175160260000
947337632760
1016806666240
117144a1a111
123310628000
13177ac31430
14b56154520
15685737e60
hex3e9c16000

16806666240 has 896 divisors, whose sum is σ = 73983006720. Its totient is φ = 3524788224.

The previous prime is 16806666211. The next prime is 16806666263. The reversal of 16806666240 is 4266660861.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100638637 + ... + 100638803.

It is an arithmetic number, because the mean of its divisors is an integer number (82570320).

Almost surely, 216806666240 is an apocalyptic number.

16806666240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16806666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36991503360).

16806666240 is an abundant number, since it is smaller than the sum of its proper divisors (57176340480).

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

16806666240 is a wasteful number, since it uses less digits than its factorization.

16806666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16806666240 in words is "sixteen billion, eight hundred six million, six hundred sixty-six thousand, two hundred forty".