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16440686640 = 243457362449
BaseRepresentation
bin11110100111111000…
…01111100000110000
31120102210001102020000
433103330033200300
5232132303433030
611315220550000
71121262350010
oct172374174060
946383042200
1016440686640
116a77380234
123229b52300
131720171a61
14b1d6c7c40
15663544860
hex3d3f0f830

16440686640 has 200 divisors, whose sum is σ = 65258397600. Its totient is φ = 3757860864.

The previous prime is 16440686629. The next prime is 16440686653. The reversal of 16440686640 is 4668604461.

16440686640 is a `hidden beast` number, since 164 + 406 + 86 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×164406866403 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135865 + ... + 226584.

It is an arithmetic number, because the mean of its divisors is an integer number (326291988).

Almost surely, 216440686640 is an apocalyptic number.

16440686640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16440686640 is an abundant number, since it is smaller than the sum of its proper divisors (48817710960).

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

16440686640 is a wasteful number, since it uses less digits than its factorization.

16440686640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362481 (or 362466 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 16440686640 in words is "sixteen billion, four hundred forty million, six hundred eighty-six thousand, six hundred forty".