Search a number
-
+
6946013160 = 23325191015499
BaseRepresentation
bin1100111100000001…
…11011111111101000
3122221002011000202200
412132000323333220
5103211134410120
63105125100200
7334062065142
oct63600737750
918832130680
106946013160
112a44930549
12141a257660
13869082c78
1449c705c92
152a9c02e90
hex19e03bfe8

6946013160 has 96 divisors (see below), whose sum is σ = 23762700000. Its totient is φ = 1754780544.

The previous prime is 6946013147. The next prime is 6946013161. The reversal of 6946013160 is 613106496.

6946013160 is a `hidden beast` number, since 6 + 9 + 460 + 131 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6946013161) 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, 500910 + ... + 514589.

It is an arithmetic number, because the mean of its divisors is an integer number (247528125).

Almost surely, 26946013160 is an apocalyptic number.

6946013160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6946013160 is an abundant number, since it is smaller than the sum of its proper divisors (16816686840).

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

6946013160 is a wasteful number, since it uses less digits than its factorization.

6946013160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015535 (or 1015528 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6946013160 is about 83342.7450951791. The cubic root of 6946013160 is about 1908.0007185894. Note that the first 3 decimals are identical.

The spelling of 6946013160 in words is "six billion, nine hundred forty-six million, thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 1015499 2030998 3046497 4061996 5077495 6092994 8123992 9139491 10154990 12185988 15232485 18278982 19294481 20309980 24371976 30464970 36557964 38588962 40619960 45697455 57883443 60929940 73115928 77177924 91394910 96472405 115766886 121859880 154355848 173650329 182789820 192944810 231533772 289417215 347300658 365579640 385889620 463067544 578834430 694601316 771779240 868251645 1157668860 1389202632 1736503290 2315337720 3473006580 6946013160