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20868242868 = 22341119378329
BaseRepresentation
bin10011011011110110…
…000001110110110100
31222212100021120120000
4103123312001312310
5320214232232433
613330422511300
71336064065134
oct233366016664
958770246500
1020868242868
118939640810
124064895530
131c77532605
14101d736ac4
158220c3113
hex4dbd81db4

20868242868 has 240 divisors, whose sum is σ = 64346251200. Its totient is φ = 5828267520.

The previous prime is 20868242833. The next prime is 20868242869. The reversal of 20868242868 is 86824286802.

It is a happy number.

20868242868 is a `hidden beast` number, since 2 + 0 + 86 + 82 + 428 + 68 = 666.

It is a super-3 number, since 3×208682428683 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20868242869) 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 79 ways as a sum of consecutive naturals, for example, 2501328 + ... + 2509656.

It is an arithmetic number, because the mean of its divisors is an integer number (268109380).

Almost surely, 220868242868 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 20868242868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32173125600).

20868242868 is an abundant number, since it is smaller than the sum of its proper divisors (43478008332).

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

20868242868 is a wasteful number, since it uses less digits than its factorization.

20868242868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 20868242868 in words is "twenty billion, eight hundred sixty-eight million, two hundred forty-two thousand, eight hundred sixty-eight".