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4050607680 = 2632571753223
BaseRepresentation
bin1111000101101111…
…0101111001000000
3101110021221012010200
43301123311321000
531243423421210
61505534325200
7202243411560
oct36133657100
911407835120
104050607680
11179950a559
12950659800
134c72605a2
142a5d68da0
1518a9200c0
hexf16f5e40

4050607680 has 672 divisors, whose sum is σ = 17254508544. Its totient is φ = 851116032.

The previous prime is 4050607667. The next prime is 4050607681. The reversal of 4050607680 is 867060504.

It is a happy number.

4050607680 is a `hidden beast` number, since 4 + 0 + 506 + 0 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050607681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18164049 + ... + 18164271.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 24050607680 is an apocalyptic number.

4050607680 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 4050607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627254272).

4050607680 is an abundant number, since it is smaller than the sum of its proper divisors (13203900864).

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

4050607680 is a wasteful number, since it uses less digits than its factorization.

4050607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4050607680 is about 63644.3845126968. The cubic root of 4050607680 is about 1594.0675727942.

The spelling of 4050607680 in words is "four billion, fifty million, six hundred seven thousand, six hundred eighty".