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6840377712 = 2432710167189
BaseRepresentation
bin1100101111011011…
…11110000101110000
3122122201101012011200
412113231332011300
5103002114041322
63050433011200
7331340152110
oct62755760560
918581335150
106840377712
1129a0240023
1213aa9b3b00
1385021839c
1448c689040
152a07d88ac
hex197b7e170

6840377712 has 120 divisors (see below), whose sum is σ = 22095297120. Its totient is φ = 1935014400.

The previous prime is 6840377711. The next prime is 6840377723. The reversal of 6840377712 is 2177730486.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840377711) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68214 + ... + 135402.

It is an arithmetic number, because the mean of its divisors is an integer number (184127476).

Almost surely, 26840377712 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 6840377712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047648560).

6840377712 is an abundant number, since it is smaller than the sum of its proper divisors (15254919408).

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

6840377712 is a wasteful number, since it uses less digits than its factorization.

6840377712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67311 (or 67302 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 6840377712 is about 82706.5759900626. The cubic root of 6840377712 is about 1898.2789319732.

The spelling of 6840377712 in words is "six billion, eight hundred forty million, three hundred seventy-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1616 1818 2121 2424 2828 3636 4242 4848 5656 6363 7272 8484 11312 12726 14544 16968 25452 33936 50904 67189 101808 134378 201567 268756 403134 470323 537512 604701 806268 940646 1075024 1209402 1410969 1612536 1881292 2418804 2821938 3225072 3762584 4232907 4837608 5643876 6786089 7525168 8465814 9675216 11287752 13572178 16931628 20358267 22575504 27144356 33863256 40716534 47502623 54288712 61074801 67726512 81433068 95005246 108577424 122149602 142507869 162866136 190010492 244299204 285015738 325732272 380020984 427523607 488598408 570031476 760041968 855047214 977196816 1140062952 1710094428 2280125904 3420188856 6840377712