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203093339904 = 2834713432503
BaseRepresentation
bin1011110100100101001…
…1100110111100000000
3201102012220221122010000
42331021103212330000
511311413343334104
6233144431040000
720446561622460
oct2751123467400
9642186848100
10203093339904
1179149994264
123343b670000
13161c8154910
149b88c63ba0
155439d04639
hex2f494e6f00

203093339904 has 720 divisors, whose sum is σ = 762976732672. Its totient is φ = 52296523776.

The previous prime is 203093339903. The next prime is 203093339921. The reversal of 203093339904 is 409933390302.

203093339904 is a `hidden beast` number, since 2 + 0 + 309 + 3 + 339 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 203093339904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203093339903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81138717 + ... + 81141219.

Almost surely, 2203093339904 is an apocalyptic number.

203093339904 is a gapful number since it is divisible by the number (24) 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 203093339904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381488366336).

203093339904 is an abundant number, since it is smaller than the sum of its proper divisors (559883392768).

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

203093339904 is a wasteful number, since it uses less digits than its factorization.

203093339904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 203093339904 in words is "two hundred three billion, ninety-three million, three hundred thirty-nine thousand, nine hundred four".