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203534545104 = 2432112322724611
BaseRepresentation
bin1011110110001110011…
…0101011000011010000
3201110100200011011212100
42331203212223003100
511313314320420404
6233300311400400
720463530042142
oct2754346530320
9643320134770
10203534545104
1179355a43260
1233543383100
1316268692497
149bcb6b2c92
155463906d39
hex2f639ab0d0

203534545104 has 240 divisors, whose sum is σ = 651297314304. Its totient is φ = 58733241600.

The previous prime is 203534545103. The next prime is 203534545163. The reversal of 203534545104 is 401545435302.

203534545104 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 3 + 4 + 545 + 104 = 666.

203534545104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2035345451042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203534545103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8257759 + ... + 8282369.

Almost surely, 2203534545104 is an apocalyptic number.

203534545104 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 203534545104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325648657152).

203534545104 is an abundant number, since it is smaller than the sum of its proper divisors (447762769200).

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

203534545104 is a wasteful number, since it uses less digits than its factorization.

203534545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24886 (or 24877 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 203534545104 in words is "two hundred three billion, five hundred thirty-four million, five hundred forty-five thousand, one hundred four".