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203382943956 = 2233291791991823
BaseRepresentation
bin1011110101101010010…
…0010111000011010100
3201102222002220001012000
42331122210113003110
511313012013201311
6233233254155300
720460006333243
oct2753244270324
9642862801160
10203382943956
1179288408055
1233500652b30
131624315286a
149bb54cc95a
15545545d056
hex2f5a9170d4

203382943956 has 192 divisors, whose sum is σ = 551577600000. Its totient is φ = 64728284544.

The previous prime is 203382943921. The next prime is 203382943991. The reversal of 203382943956 is 659349283302.

It is a happy number.

203382943956 is a `hidden beast` number, since 203 + 382 + 9 + 4 + 3 + 9 + 56 = 666.

203382943956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203382943921) and next prime (203382943991).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 111564061 + ... + 111565883.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800000).

Almost surely, 2203382943956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203382943956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800000).

203382943956 is an abundant number, since it is smaller than the sum of its proper divisors (348194656044).

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

203382943956 is a wasteful number, since it uses less digits than its factorization.

203382943956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 203382943956 in words is "two hundred three billion, three hundred eighty-two million, nine hundred forty-three thousand, nine hundred fifty-six".