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2825316780 = 2235111323103139
BaseRepresentation
bin1010100001100110…
…1110100110101100
321021220022222000020
42220121232212230
521241240114110
61144204202140
7130004540106
oct25031564654
97256288006
102825316780
11121a8aa350
1266a239350
133604526a0
141cb334576
1511808ad70
hexa866e9ac

2825316780 has 384 divisors, whose sum is σ = 9862594560. Its totient is φ = 594570240.

The previous prime is 2825316779. The next prime is 2825316817. The reversal of 2825316780 is 876135282.

2825316780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20325951 + ... + 20326089.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 22825316780 is an apocalyptic number.

2825316780 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 2825316780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931297280).

2825316780 is an abundant number, since it is smaller than the sum of its proper divisors (7037277780).

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

2825316780 is a wasteful number, since it uses less digits than its factorization.

2825316780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2825316780 is about 53153.7089957041. The cubic root of 2825316780 is about 1413.6949814458.

The spelling of 2825316780 in words is "two billion, eight hundred twenty-five million, three hundred sixteen thousand, seven hundred eighty".