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20936240000 = 27541341491
BaseRepresentation
bin10011011111111001…
…011010101110000000
32000001002020012002022
4103133321122232000
5320334134140000
613341252141012
71340551050404
oct233771325600
960032205068
1020936240000
118973a63a95
124083607768
131c8864c5c0
141028797104
15828055585
hex4dfe5ab80

20936240000 has 320 divisors, whose sum is σ = 57614744880. Its totient is φ = 7526400000.

The previous prime is 20936239999. The next prime is 20936240009. The reversal of 20936240000 is 4263902.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×209362400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20936240009) 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 39 ways as a sum of consecutive naturals, for example, 42639755 + ... + 42640245.

Almost surely, 220936240000 is an apocalyptic number.

20936240000 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 20936240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28807372440).

20936240000 is an abundant number, since it is smaller than the sum of its proper divisors (36678504880).

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

20936240000 is an equidigital number, since it uses as much as digits as its factorization.

20936240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 20936240000 in words is "twenty billion, nine hundred thirty-six million, two hundred forty thousand".