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868242402000 = 2435536129287
BaseRepresentation
bin11001010001001110100…
…01111010101011010000
310002000002022020221200000
430220213101322223100
5103211130023331000
61502510503530000
7116504566435161
oct14504721725320
93060068227600
10868242402000
11305246223436
12120330759900
1363b4b22bbbc
1430047781768
15178b9473000
hexca2747aad0

868242402000 has 480 divisors, whose sum is σ = 3196458580224. Its totient is φ = 227727936000.

The previous prime is 868242401921. The next prime is 868242402011. The reversal of 868242402000 is 204242868.

It is a happy number.

868242402000 is a `hidden beast` number, since 8 + 6 + 8 + 242 + 402 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29631357 + ... + 29660643.

Almost surely, 2868242402000 is an apocalyptic number.

868242402000 is a gapful number since it is divisible by the number (80) 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 868242402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598229290112).

868242402000 is an abundant number, since it is smaller than the sum of its proper divisors (2328216178224).

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

868242402000 is a wasteful number, since it uses less digits than its factorization.

868242402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29386 (or 29358 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 868242402000 its reverse (204242868), we get a palindrome (868446644868).

The spelling of 868242402000 in words is "eight hundred sixty-eight billion, two hundred forty-two million, four hundred two thousand".