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20161386000 = 243453723773
BaseRepresentation
bin10010110001101101…
…100101011000010000
31221001002012112020000
4102301231211120100
5312242303323000
613132332250000
71312421645010
oct226155453020
957032175200
1020161386000
118606638788
123aa8010900
131b93c62202
14d938d5c40
157ceee9000
hex4b1b65610

20161386000 has 800 divisors, whose sum is σ = 86958862848. Its totient is φ = 4402252800.

The previous prime is 20161385989. The next prime is 20161386071. The reversal of 20161386000 is 68316102.

20161386000 is a `hidden beast` number, since 20 + 1 + 6 + 1 + 38 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26081614 + ... + 26082386.

Almost surely, 220161386000 is an apocalyptic number.

20161386000 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 20161386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43479431424).

20161386000 is an abundant number, since it is smaller than the sum of its proper divisors (66797476848).

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

20161386000 is a wasteful number, since it uses less digits than its factorization.

20161386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20161386000 in words is "twenty billion, one hundred sixty-one million, three hundred eighty-six thousand".