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16692122304 = 2634112132389
BaseRepresentation
bin11111000101110110…
…11001001011000000
31121002022011200010000
433202323121023000
5233141140403204
611400202040000
71130434461414
oct174273311300
947068150100
1016692122304
1170962a4600
12329a1a9000
131760297a60
14b44c58d44
1567a65e039
hex3e2ed92c0

16692122304 has 840 divisors, whose sum is σ = 61804844640. Its totient is φ = 4415938560.

The previous prime is 16692122303. The next prime is 16692122347. The reversal of 16692122304 is 40322129661.

It is a happy number.

16692122304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16692122303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187551892 + ... + 187551980.

It is an arithmetic number, because the mean of its divisors is an integer number (73577196).

Almost surely, 216692122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16692122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30902422320).

16692122304 is an abundant number, since it is smaller than the sum of its proper divisors (45112722336).

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

16692122304 is a wasteful number, since it uses less digits than its factorization.

16692122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 166921 and 22304, that added together give a square (189225 = 4352).

The spelling of 16692122304 in words is "sixteen billion, six hundred ninety-two million, one hundred twenty-two thousand, three hundred four".