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210425028840 = 233251379601947
BaseRepresentation
bin1100001111111001001…
…1110010000011101000
3202010010212211000120200
43003332103302003220
511421422301410330
6240400134352200
721126346143045
oct3037623620350
9663125730520
10210425028840
1181271496714
1234946abb660
1316ac60a22b0
14a2828821cc
1557187dba60
hex30fe4f20e8

210425028840 has 384 divisors, whose sum is σ = 747840038400. Its totient is φ = 51002265600.

The previous prime is 210425028713. The next prime is 210425028859. The reversal of 210425028840 is 48820524012.

210425028840 is a `hidden beast` number, since 2 + 104 + 2 + 502 + 8 + 8 + 40 = 666.

210425028840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 210425028795 and 210425028804.

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, 222201247 + ... + 222202193.

It is an arithmetic number, because the mean of its divisors is an integer number (1947500100).

Almost surely, 2210425028840 is an apocalyptic number.

210425028840 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 210425028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373920019200).

210425028840 is an abundant number, since it is smaller than the sum of its proper divisors (537415009560).

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

210425028840 is a wasteful number, since it uses less digits than its factorization.

210425028840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 210425028840 in words is "two hundred ten billion, four hundred twenty-five million, twenty-eight thousand, eight hundred forty".