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20166025140 = 22335311577673
BaseRepresentation
bin10010110001111111…
…010001111110110100
31221001101221012221000
4102301333101332310
5312300000301030
613133015523300
71312506246132
oct226177217664
957041835830
1020166025140
118609217188
123aa9689530
131b94bc7971
14d94382752
157d0613860
hex4b1fd1fb4

20166025140 has 192 divisors, whose sum is σ = 65183569920. Its totient is φ = 5170314240.

The previous prime is 20166025127. The next prime is 20166025157. The reversal of 20166025140 is 4152066102.

20166025140 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 602 + 51 + 4 + 0 = 666.

It is a super-2 number, since 2×201660251402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624344 + ... + 2632016.

It is an arithmetic number, because the mean of its divisors is an integer number (339497760).

Almost surely, 220166025140 is an apocalyptic number.

20166025140 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 20166025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32591784960).

20166025140 is an abundant number, since it is smaller than the sum of its proper divisors (45017544780).

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

20166025140 is a wasteful number, since it uses less digits than its factorization.

20166025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7871 counting only the distinct ones).

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

The spelling of 20166025140 in words is "twenty billion, one hundred sixty-six million, twenty-five thousand, one hundred forty".