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44552222225544 = 233111012149111029
BaseRepresentation
bin10100010000101000111110…
…11000010011010010001000
312211202011001222011100110210
422020110133120103102020
521314420422342204134
6234431001445041120
712245535412366605
oct1210243730232210
9184664058140423
1044552222225544
1113217544a77120
124bb66290b61a0
131bb2344794727
14b004a65536ac
15523d8b30c2e9
hex28851f613488

44552222225544 has 192 divisors, whose sum is σ = 123545745720000. Its totient is φ = 13277172352000.

The previous prime is 44552222225527. The next prime is 44552222225561.

It is a happy number.

44552222225544 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (44552222225527) and next prime (44552222225561).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44552222225493 and 44552222225502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401211022 + ... + 401322050.

It is an arithmetic number, because the mean of its divisors is an integer number (643467425625).

Almost surely, 244552222225544 is an apocalyptic number.

44552222225544 is a gapful number since it is divisible by the number (44) 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 44552222225544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61772872860000).

44552222225544 is an abundant number, since it is smaller than the sum of its proper divisors (78993523494456).

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

44552222225544 is a wasteful number, since it uses less digits than its factorization.

44552222225544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111400 (or 111295 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 48.

The spelling of 44552222225544 in words is "forty-four trillion, five hundred fifty-two billion, two hundred twenty-two million, two hundred twenty-five thousand, five hundred forty-four".