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4422696768 = 263371272879
BaseRepresentation
bin1000001111001110…
…01111111101000000
3102102020002021102000
410013213033331000
533024202244033
62010505424000
7214412205450
oct40747177500
912366067360
104422696768
11196a5515a6
12a3519b000
1355637ba49
142dd545d60
151ad41da13
hex1079cff40

4422696768 has 224 divisors, whose sum is σ = 14981529600. Its totient is φ = 1253242368.

The previous prime is 4422696743. The next prime is 4422696779. The reversal of 4422696768 is 8676962244.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1534753 + ... + 1537631.

Almost surely, 24422696768 is an apocalyptic number.

4422696768 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 4422696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490764800).

4422696768 is an abundant number, since it is smaller than the sum of its proper divisors (10558832832).

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

4422696768 is a wasteful number, since it uses less digits than its factorization.

4422696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3018 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 4422696768 is about 66503.3590730574. The cubic root of 4422696768 is about 1641.4552777585.

The spelling of 4422696768 in words is "four billion, four hundred twenty-two million, six hundred ninety-six thousand, seven hundred sixty-eight".