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6868892160 = 2932513171971
BaseRepresentation
bin1100110010110101…
…01111101000000000
3122201201000212122100
412121122233220000
5103031414022120
63053332110400
7332134422444
oct63132575000
918651025570
106868892160
112a05346389
1213b8465400
138560c0140
1449238c824
152a306c490
hex1996afa00

6868892160 has 960 divisors, whose sum is σ = 28955646720. Its totient is φ = 1486356480.

The previous prime is 6868892153. The next prime is 6868892183. The reversal of 6868892160 is 612988686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 6868892097 and 6868892106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96744925 + ... + 96744995.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 26868892160 is an apocalyptic number.

6868892160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6868892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

6868892160 is an abundant number, since it is smaller than the sum of its proper divisors (22086754560).

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

6868892160 is a wasteful number, since it uses less digits than its factorization.

6868892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 6868892160 is about 82878.7799137994. The cubic root of 6868892160 is about 1900.9129647519.

The spelling of 6868892160 in words is "six billion, eight hundred sixty-eight million, eight hundred ninety-two thousand, one hundred sixty".