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4426558144 = 26296735597
BaseRepresentation
bin1000001111101011…
…11110101011000000
3102102111100110012221
410013311332223000
533031144330034
62011124300424
7214460060221
oct40765765300
912374313187
104426558144
111971749718
12a36541714
13557101498
142ddc6d248
151ad932bb4
hex107d7eac0

4426558144 has 56 divisors (see below), whose sum is σ = 9222729840. Its totient is φ = 2105005056.

The previous prime is 4426558139. The next prime is 4426558163. The reversal of 4426558144 is 4418556244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4426558144.

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 7 ways as a sum of consecutive naturals, for example, 106554 + ... + 142150.

Almost surely, 24426558144 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 4426558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611364920).

4426558144 is an abundant number, since it is smaller than the sum of its proper divisors (4796171696).

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

4426558144 is a wasteful number, since it uses less digits than its factorization.

4426558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35705 (or 35695 counting only the distinct ones).

The product of its digits is 614400, while the sum is 43.

The square root of 4426558144 is about 66532.3841749264. The cubic root of 4426558144 is about 1641.9328470358.

The spelling of 4426558144 in words is "four billion, four hundred twenty-six million, five hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 67 116 134 232 268 464 536 928 1072 1856 1943 2144 3886 4288 7772 15544 31088 35597 62176 71194 124352 142388 284776 569552 1032313 1139104 2064626 2278208 2384999 4129252 4769998 8258504 9539996 16517008 19079992 33034016 38159984 66068032 69164971 76319968 138329942 152639936 276659884 553319768 1106639536 2213279072 4426558144