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21158755200 = 2734521141181
BaseRepresentation
bin10011101101001010…
…001111101110000000
32000121120221010120000
4103231022033232000
5321313120131300
613415321320000
71346222310642
oct235512175600
960546833500
1021158755200
118a78624a50
124126036000
131cc278aabb
14104a15a892
1583c85ac00
hex4ed28fb80

21158755200 has 960 divisors, whose sum is σ = 87738290640. Its totient is φ = 4976640000.

The previous prime is 21158755199. The next prime is 21158755201. The reversal of 21158755200 is 255785112.

21158755200 is a `hidden beast` number, since 2 + 1 + 1 + 587 + 55 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21158755199) and next prime (21158755201).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×211587552002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21158755201) 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, 116899110 + ... + 116899290.

Almost surely, 221158755200 is an apocalyptic number.

21158755200 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 21158755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43869145320).

21158755200 is an abundant number, since it is smaller than the sum of its proper divisors (66579535440).

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

21158755200 is a wasteful number, since it uses less digits than its factorization.

21158755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 21158755200 in words is "twenty-one billion, one hundred fifty-eight million, seven hundred fifty-five thousand, two hundred".