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203440689936 = 2434112172672
BaseRepresentation
bin1011110101111000000…
…0101001001100010000
3201110010010112211210000
42331132000221030100
511313121304034221
6233243120010000
720461310222001
oct2753600511420
9643103484700
10203440689936
1179307a69500
1233517a60900
13162520c0893
149bbd0411a8
15545a567e26
hex2f5e029310

203440689936 has 675 divisors, whose sum is σ = 697936818117. Its totient is φ = 57156295680.

The previous prime is 203440689929. The next prime is 203440689941. The reversal of 203440689936 is 639986044302.

The square root of 203440689936 is 451044.

It is a perfect power (a square), and thus also a powerful number.

203440689936 is a `hidden beast` number, since 20 + 3 + 440 + 68 + 99 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158388080400 + 45052609536 = 397980^2 + 212256^2 .

It is a super-2 number, since 2×2034406899362 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3036428175 + ... + 3036428241.

Almost surely, 2203440689936 is an apocalyptic number.

203440689936 is the 451044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203440689936

203440689936 is an abundant number, since it is smaller than the sum of its proper divisors (494496128181).

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

203440689936 is a wasteful number, since it uses less digits than its factorization.

203440689936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 203440689936 in words is "two hundred three billion, four hundred forty million, six hundred eighty-nine thousand, nine hundred thirty-six".