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2851968960 = 263351719417
BaseRepresentation
bin1010100111111101…
…1001011111000000
321100202111000221000
42221333121133000
521320101001320
61150555332000
7130450223211
oct25177313700
97322430830
102851968960
111233953545
12677151000
13365b248c9
141d0ab1408
1511a5a2c90
hexa9fd97c0

2851968960 has 224 divisors, whose sum is σ = 10653491520. Its totient is φ = 715751424.

The previous prime is 2851968947. The next prime is 2851968961. The reversal of 2851968960 is 698691582.

It is a happy number.

2851968960 is a `hidden beast` number, since 2 + 8 + 519 + 68 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2851968897 and 2851968906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2851968961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137172 + ... + 156588.

It is an arithmetic number, because the mean of its divisors is an integer number (47560230).

Almost surely, 22851968960 is an apocalyptic number.

2851968960 is a gapful number since it is divisible by the number (20) 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 2851968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326745760).

2851968960 is an abundant number, since it is smaller than the sum of its proper divisors (7801522560).

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

2851968960 is a wasteful number, since it uses less digits than its factorization.

2851968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19460 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2851968960 is about 53403.8290762001. The cubic root of 2851968960 is about 1418.1263657715.

It can be divided in two parts, 28519 and 68960, that added together give a palindrome (97479).

The spelling of 2851968960 in words is "two billion, eight hundred fifty-one million, nine hundred sixty-eight thousand, nine hundred sixty".