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208401280920 = 2335575357791
BaseRepresentation
bin1100001000010110101…
…1110010111110011000
3201220220211202222100000
43002011223302332120
511403301211442140
6235423242413000
721025243442250
oct3020553627630
9656824688300
10208401280920
11804230a9978
1234481201160
1316862a31911
14a12dba4960
15564acd7a30
hex3085af2f98

208401280920 has 384 divisors, whose sum is σ = 817890877440. Its totient is φ = 46735004160.

The previous prime is 208401280907. The next prime is 208401280933. The reversal of 208401280920 is 29082104802.

208401280920 is a `hidden beast` number, since 208 + 401 + 28 + 0 + 9 + 20 = 666.

208401280920 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 (208401280907) and next prime (208401280933).

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

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 95 ways as a sum of consecutive naturals, for example, 3577225 + ... + 3635015.

It is an arithmetic number, because the mean of its divisors is an integer number (2129924160).

Almost surely, 2208401280920 is an apocalyptic number.

208401280920 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 208401280920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408945438720).

208401280920 is an abundant number, since it is smaller than the sum of its proper divisors (609489596520).

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

208401280920 is a wasteful number, since it uses less digits than its factorization.

208401280920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57877 (or 57861 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 208401280920 in words is "two hundred eight billion, four hundred one million, two hundred eighty thousand, nine hundred twenty".