Search a number
-
+
57222144128 = 2711312731151
BaseRepresentation
bin110101010010101101…
…001010000010000000
312110200220120002212102
4311102231022002000
51414142332103003
642142033045532
74064006125352
oct652255120200
9173626502772
1057222144128
11222a4454906
12b10b6b68a8
13551c0b42a6
142aab9950d2
15174d93e588
hexd52b4a080

57222144128 has 64 divisors (see below), whose sum is σ = 115915345920. Its totient is φ = 28133683200.

The previous prime is 57222144103. The next prime is 57222144139. The reversal of 57222144128 is 82144122275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 57222144091 and 57222144100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1821353 + ... + 1852503.

It is an arithmetic number, because the mean of its divisors is an integer number (1811177280).

Almost surely, 257222144128 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 57222144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57957672960).

57222144128 is an abundant number, since it is smaller than the sum of its proper divisors (58693201792).

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

57222144128 is a wasteful number, since it uses less digits than its factorization.

57222144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31405 (or 31393 counting only the distinct ones).

The product of its digits is 71680, while the sum is 38.

The spelling of 57222144128 in words is "fifty-seven billion, two hundred twenty-two million, one hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 127 128 226 254 452 508 904 1016 1808 2032 3616 4064 7232 8128 14351 14464 16256 28702 31151 57404 62302 114808 124604 229616 249208 459232 498416 918464 996832 1836928 1993664 3520063 3956177 3987328 7040126 7912354 14080252 15824708 28160504 31649416 56321008 63298832 112642016 126597664 225284032 253195328 447048001 450568064 506390656 894096002 1788192004 3576384008 7152768016 14305536032 28611072064 57222144128