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203008456980 = 2233571729412657
BaseRepresentation
bin1011110100010000111…
…1110011100100010100
3201102000000020010122000
42331010033303210110
511311230131110410
6233132155435300
720444511261420
oct2750417634424
9642000203560
10203008456980
1179105a8848a
1233417155b30
13161b36a4b34
149b7b889b80
155432638dc0
hex2f443f3914

203008456980 has 768 divisors, whose sum is σ = 810209433600. Its totient is φ = 41122529280.

The previous prime is 203008456957. The next prime is 203008457017. The reversal of 203008456980 is 89654800302.

203008456980 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 0 + 8 + 4 + 569 + 80 = 666.

203008456980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 76403812 + ... + 76406468.

It is an arithmetic number, because the mean of its divisors is an integer number (1054960200).

Almost surely, 2203008456980 is an apocalyptic number.

203008456980 is a gapful number since it is divisible by the number (20) 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 203008456980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405104716800).

203008456980 is an abundant number, since it is smaller than the sum of its proper divisors (607200976620).

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

203008456980 is a wasteful number, since it uses less digits than its factorization.

203008456980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 203008456980 in words is "two hundred three billion, eight million, four hundred fifty-six thousand, nine hundred eighty".