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6851066040 = 233257131631283
BaseRepresentation
bin1100110000101101…
…01111100010111000
3122200110111012210200
412120112233202320
5103012333103130
63051454042200
7331530046320
oct63026574270
918613435720
106851066040
1129a6280355
1213b24a9360
138524bb340
1448dc6c280
152a16ea760
hex1985af8b8

6851066040 has 384 divisors, whose sum is σ = 27593879040. Its totient is φ = 1435511808.

The previous prime is 6851066021. The next prime is 6851066069. The reversal of 6851066040 is 406601586.

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 = 6851065986 and 6851066004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5339239 + ... + 5340521.

It is an arithmetic number, because the mean of its divisors is an integer number (71859060).

Almost surely, 26851066040 is an apocalyptic number.

6851066040 is a gapful number since it is divisible by the number (60) 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 6851066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13796939520).

6851066040 is an abundant number, since it is smaller than the sum of its proper divisors (20742813000).

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

6851066040 is a wasteful number, since it uses less digits than its factorization.

6851066040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6851066040 is about 82771.1667188520. The cubic root of 6851066040 is about 1899.2671263991.

The spelling of 6851066040 in words is "six billion, eight hundred fifty-one million, sixty-six thousand, forty".