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3946722444 = 22327223891093
BaseRepresentation
bin1110101100111110…
…0011010010001100
3101012001110021101100
43223033203102030
531040330104234
61451343543100
7166542405300
oct35317432214
911161407340
103946722444
111745904a95
129218baa90
134ab889532
14296245d00
1518174e399
hexeb3e348c

3946722444 has 216 divisors, whose sum is σ = 12257088480. Its totient is φ = 1065512448.

The previous prime is 3946722419. The next prime is 3946722473. The reversal of 3946722444 is 4442276493.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3946722444.

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 71 ways as a sum of consecutive naturals, for example, 3610362 + ... + 3611454.

It is an arithmetic number, because the mean of its divisors is an integer number (56745780).

Almost surely, 23946722444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946722444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128544240).

3946722444 is an abundant number, since it is smaller than the sum of its proper divisors (8310366036).

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

3946722444 is a wasteful number, since it uses less digits than its factorization.

3946722444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1217 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 3946722444 is about 62822.9452031660. The cubic root of 3946722444 is about 1580.3217904641.

The spelling of 3946722444 in words is "three billion, nine hundred forty-six million, seven hundred twenty-two thousand, four hundred forty-four".