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201609112320 = 28335721179137
BaseRepresentation
bin1011101111000011010…
…1101110101100000000
3201021101111010001122000
42323300311232230000
511300343413043240
6232341250544000
720365030115400
oct2736065565400
9637344101560
10201609112320
11785580a70a0
12330a6598000
131601c7c5745
149a87aa8800
15539e873430
hex2ef0d6eb00

201609112320 has 1728 divisors, whose sum is σ = 926098790400. Its totient is φ = 41060597760.

The previous prime is 201609112303. The next prime is 201609112321. The reversal of 201609112320 is 23211906102.

201609112320 is a `hidden beast` number, since 2 + 0 + 1 + 609 + 11 + 23 + 20 = 666.

201609112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201609112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1471599292 + ... + 1471599428.

It is an arithmetic number, because the mean of its divisors is an integer number (535936800).

Almost surely, 2201609112320 is an apocalyptic number.

201609112320 is a gapful number since it is divisible by the number (20) 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 201609112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463049395200).

201609112320 is an abundant number, since it is smaller than the sum of its proper divisors (724489678080).

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

201609112320 is a wasteful number, since it uses less digits than its factorization.

201609112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 201609112320 in words is "two hundred one billion, six hundred nine million, one hundred twelve thousand, three hundred twenty".