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6861800672 = 254110350777
BaseRepresentation
bin1100110001111111…
…01100010011100000
3122201012200120221122
412120333230103200
5103023110110142
63052520111412
7332020225526
oct63077542340
918635616848
106861800672
112a01342451
1213b6005568
138547a93ac
14491464316
152a261b1d2
hex198fec4e0

6861800672 has 48 divisors (see below), whose sum is σ = 13973293152. Its totient is φ = 3314657280.

The previous prime is 6861800669. The next prime is 6861800689. The reversal of 6861800672 is 2760081686.

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 7 ways as a sum of consecutive naturals, for example, 109748 + ... + 160524.

It is an arithmetic number, because the mean of its divisors is an integer number (291110274).

Almost surely, 26861800672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6861800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986646576).

6861800672 is an abundant number, since it is smaller than the sum of its proper divisors (7111492480).

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

6861800672 is a wasteful number, since it uses less digits than its factorization.

6861800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50931 (or 50923 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 6861800672 is about 82835.9865758838. The cubic root of 6861800672 is about 1900.2585679497.

The spelling of 6861800672 in words is "six billion, eight hundred sixty-one million, eight hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 103 164 206 328 412 656 824 1312 1648 3296 4223 8446 16892 33784 50777 67568 101554 135136 203108 406216 812432 1624864 2081857 4163714 5230031 8327428 10460062 16654856 20920124 33309712 41840248 66619424 83680496 167360992 214431271 428862542 857725084 1715450168 3430900336 6861800672