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16165440000 = 2933541871
BaseRepresentation
bin11110000111000100…
…10000101000000000
31112201121010102211000
433003202100220000
5231101323040000
611232025252000
71111410654453
oct170342205000
945647112730
1016165440000
116945a73376
123171934000
1316a812cb18
14ad4d1949a
156492c5000
hex3c3890a00

16165440000 has 400 divisors, whose sum is σ = 59826349440. Its totient is φ = 4308480000.

The previous prime is 16165439999. The next prime is 16165440007. The reversal of 16165440000 is 4456161.

16165440000 is a `hidden beast` number, since 1 + 6 + 1 + 654 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×161654400002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16165440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639065 + ... + 8640935.

Almost surely, 216165440000 is an apocalyptic number.

16165440000 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 16165440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913174720).

16165440000 is an abundant number, since it is smaller than the sum of its proper divisors (43660909440).

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

16165440000 is an frugal number, since it uses more digits than its factorization.

16165440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 16165440000 its reverse (4456161), we get a palindrome (16169896161).

The spelling of 16165440000 in words is "sixteen billion, one hundred sixty-five million, four hundred forty thousand".