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6870646314 = 234714814091
BaseRepresentation
bin1100110011000010…
…11011111000101010
3122201211022222220000
412121201123320222
5103032341140224
63053433443430
7332155346550
oct63141337052
918654288800
106870646314
112a063342a4
1213b8b70576
138565856bc
144926c7bd0
152a32b70c9
hex19985be2a

6870646314 has 80 divisors (see below), whose sum is σ = 17610854976. Its totient is φ = 1961236800.

The previous prime is 6870646313. The next prime is 6870646327. The reversal of 6870646314 is 4136460786.

It is a happy number.

6870646314 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 6 + 4 + 631 + 4 = 666.

6870646314 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 6870646314.

It is not an unprimeable number, because it can be changed into a prime (6870646313) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1677409 + ... + 1681499.

Almost surely, 26870646314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6870646314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805427488).

6870646314 is an abundant number, since it is smaller than the sum of its proper divisors (10740208662).

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

6870646314 is a wasteful number, since it uses less digits than its factorization.

6870646314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6870646314 is about 82889.3618867946. The cubic root of 6870646314 is about 1901.0747671790.

The spelling of 6870646314 in words is "six billion, eight hundred seventy million, six hundred forty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1481 2962 4091 4443 8182 8886 10367 12273 13329 20734 24546 26658 28637 31101 36819 39987 57274 62202 73638 79974 85911 93303 110457 119961 171822 186606 220914 239922 257733 279909 331371 515466 559818 662742 773199 839727 1546398 1679454 2319597 4639194 6058771 12117542 18176313 36352626 42411397 54528939 84822794 109057878 127234191 163586817 254468382 327173634 381702573 490760451 763405146 981520902 1145107719 2290215438 3435323157 6870646314