Search a number
-
+
206531520000 = 293541321967
BaseRepresentation
bin1100000001011000111…
…1001110011000000000
3201202002112111021112120
43000112033032120000
511340434032120000
6234513531124240
720631020645241
oct3002617163000
9652075437476
10206531520000
117a653727913
123403aba3680
1316625557b00
149dd372ccc8
15558ba9e6a0
hex30163ce600

206531520000 has 1200 divisors, whose sum is σ = 795383645760. Its totient is φ = 47443968000.

The previous prime is 206531519989. The next prime is 206531520017. The reversal of 206531520000 is 25135602.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3082559967 + ... + 3082560033.

Almost surely, 2206531520000 is an apocalyptic number.

206531520000 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 206531520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397691822880).

206531520000 is an abundant number, since it is smaller than the sum of its proper divisors (588852125760).

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

206531520000 is an equidigital number, since it uses as much as digits as its factorization.

206531520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 206531520000 its reverse (25135602), we get a palindrome (206556655602).

The spelling of 206531520000 in words is "two hundred six billion, five hundred thirty-one million, five hundred twenty thousand".