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4068852480 = 283357112139
BaseRepresentation
bin1111001010000101…
…1100001100000000
3101111120021010022000
43302201130030000
531313111234410
61511425344000
7202554450450
oct36241341400
911446233260
104068852480
1117a8841100
12956798000
134cac7ab24
142a8557d60
1518c325dc0
hexf285c300

4068852480 has 864 divisors, whose sum is σ = 18268454400. Its totient is φ = 839393280.

The previous prime is 4068852407. The next prime is 4068852499. The reversal of 4068852480 is 842588604.

4068852480 is a `hidden beast` number, since 40 + 6 + 8 + 8 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 29272251 + ... + 29272389.

Almost surely, 24068852480 is an apocalyptic number.

4068852480 is a gapful number since it is divisible by the number (40) 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 4068852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134227200).

4068852480 is an abundant number, since it is smaller than the sum of its proper divisors (14199601920).

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

4068852480 is a wasteful number, since it uses less digits than its factorization.

4068852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4068852480 is about 63787.5574073816. The cubic root of 4068852480 is about 1596.4573283797.

It can be divided in two parts, 40688524 and 80, that added together give a palindrome (40688604).

The spelling of 4068852480 in words is "four billion, sixty-eight million, eight hundred fifty-two thousand, four hundred eighty".