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6851204640 = 253357713191
BaseRepresentation
bin1100110000101110…
…10001011000100000
3122200110202020221000
412120113101120200
5103012402022030
63051501032000
7331531164360
oct63027213040
918613666830
106851204640
1129a63654a5
1213b2555600
13852539457
1448dca69a0
152a1726860
hex1985d1620

6851204640 has 384 divisors, whose sum is σ = 27799511040. Its totient is φ = 1543449600.

The previous prime is 6851204627. The next prime is 6851204651. The reversal of 6851204640 is 464021586.

6851204640 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 2 + 0 + 4 + 640 = 666.

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 = 6851204595 and 6851204604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145445 + ... + 2148635.

It is an arithmetic number, because the mean of its divisors is an integer number (72394560).

Almost surely, 26851204640 is an apocalyptic number.

6851204640 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 6851204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13899755520).

6851204640 is an abundant number, since it is smaller than the sum of its proper divisors (20948306400).

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

6851204640 is a wasteful number, since it uses less digits than its factorization.

6851204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6851204640 is about 82772.0039626926. The cubic root of 6851204640 is about 1899.2799339752.

The spelling of 6851204640 in words is "six billion, eight hundred fifty-one million, two hundred four thousand, six hundred forty".