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4426837968 = 2437219235973
BaseRepresentation
bin1000001111101110…
…00010111111010000
3102102111212200001210
410013313002333100
533031232303333
62011134300120
7214462334100
oct40767027720
912374780053
104426837968
11197191a983
12a36657640
1355719b967
142ddd03200
151ad98aa63
hex107dc2fd0

4426837968 has 480 divisors, whose sum is σ = 15063321600. Its totient is φ = 1111283712.

The previous prime is 4426837967. The next prime is 4426837969. The reversal of 4426837968 is 8697386244.

It is an interprime number because it is at equal distance from previous prime (4426837967) and next prime (4426837969).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426837967) 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, 60641580 + ... + 60641652.

It is an arithmetic number, because the mean of its divisors is an integer number (31381920).

Almost surely, 24426837968 is an apocalyptic number.

4426837968 is a gapful number since it is divisible by the number (48) 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 4426837968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531660800).

4426837968 is an abundant number, since it is smaller than the sum of its proper divisors (10636483632).

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

4426837968 is a wasteful number, since it uses less digits than its factorization.

4426837968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The square root of 4426837968 is about 66534.4870574652. The cubic root of 4426837968 is about 1641.9674444605.

The spelling of 4426837968 in words is "four billion, four hundred twenty-six million, eight hundred thirty-seven thousand, nine hundred sixty-eight".