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200015412000 = 2535330754293
BaseRepresentation
bin1011101001000111011…
…0001111101100100000
3201010021102021200210020
42322101312033230200
511234112421141000
6231515200233440
720310365643645
oct2722166175440
9633242250706
10200015412000
117790a538498
123292090b880
1315b275871c1
149976173dcc
1553099baba0
hex2e91d8fb20

200015412000 has 192 divisors, whose sum is σ = 657396964224. Its totient is φ = 53162726400.

The previous prime is 200015411989. The next prime is 200015412013. The reversal of 200015412000 is 214510002.

200015412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 3656854 + ... + 3711146.

It is an arithmetic number, because the mean of its divisors is an integer number (3423942522).

Almost surely, 2200015412000 is an apocalyptic number.

200015412000 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 200015412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328698482112).

200015412000 is an abundant number, since it is smaller than the sum of its proper divisors (457381552224).

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

200015412000 is a wasteful number, since it uses less digits than its factorization.

200015412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54628 (or 54610 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 200015412000 its reverse (214510002), we get a palindrome (200229922002).

The spelling of 200015412000 in words is "two hundred billion, fifteen million, four hundred twelve thousand".