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206525542146 = 237111051425333
BaseRepresentation
bin1100000001010111100…
…0011010111100000010
3201202002010020120110120
43000111320122330002
511340431014322041
6234513155041110
720630616100140
oct3002570327402
9652063216416
10206525542146
117a650314640
1234038ba0196
1316624243c11
149dd2a14590
15558b2bd366
hex3015e1af02

206525542146 has 64 divisors (see below), whose sum is σ = 515463975936. Its totient is φ = 53591832000.

The previous prime is 206525542121. The next prime is 206525542147. The reversal of 206525542146 is 641245525602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206525542098 and 206525542107.

It is not an unprimeable number, because it can be changed into a prime (206525542147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272896 + ... + 698228.

It is an arithmetic number, because the mean of its divisors is an integer number (8054124624).

Almost surely, 2206525542146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206525542146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257731987968).

206525542146 is an abundant number, since it is smaller than the sum of its proper divisors (308938433790).

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

206525542146 is a wasteful number, since it uses less digits than its factorization.

206525542146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426407.

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 206525542146 in words is "two hundred six billion, five hundred twenty-five million, five hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1051 2102 3153 6306 7357 11561 14714 22071 23122 34683 44142 69366 80927 161854 242781 425333 485562 850666 1275999 2551998 2977331 4678663 5954662 8931993 9357326 14035989 17863986 28071978 32750641 65501282 98251923 196503846 447024983 894049966 1341074949 2682149898 3129174881 4917274813 6258349762 9387524643 9834549626 14751824439 18775049286 29503648878 34420923691 68841847382 103262771073 206525542146