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6854011680 = 253514279191
BaseRepresentation
bin1100110001000011…
…11110101100100000
3122200200000212110110
412120201332230200
5103014111333210
63052041131320
7331564065225
oct63041765440
918620025413
106854011680
1129a7a0246a
1213b3489b40
13852cb0019
144903d794c
152a1acd420
hex19887eb20

6854011680 has 48 divisors (see below), whose sum is σ = 21590138304. Its totient is φ = 1827736320.

The previous prime is 6854011679. The next prime is 6854011687. The reversal of 6854011680 is 861104586.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×68540116802 = 93954952219152844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6854011687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7139116 + ... + 7140075.

It is an arithmetic number, because the mean of its divisors is an integer number (449794548).

Almost surely, 26854011680 is an apocalyptic number.

6854011680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6854011680 is an abundant number, since it is smaller than the sum of its proper divisors (14736126624).

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

6854011680 is a wasteful number, since it uses less digits than its factorization.

6854011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279209 (or 14279201 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 6854011680 is about 82788.9586841144. The cubic root of 6854011680 is about 1899.5392862633.

The spelling of 6854011680 in words is "six billion, eight hundred fifty-four million, eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 14279191 28558382 42837573 57116764 71395955 85675146 114233528 142791910 171350292 214187865 228467056 285583820 342700584 428375730 456934112 571167640 685401168 856751460 1142335280 1370802336 1713502920 2284670560 3427005840 6854011680