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1666242256 = 247215713537
BaseRepresentation
bin110001101010000…
…1101011011010000
311022010022212200011
41203110031123100
511403024223011
6433201204304
756201553100
oct14324153320
94263285604
101666242256
11785606518
123a6030694
1320728a083
1411b419200
159b436621
hex6350d6d0

1666242256 has 60 divisors (see below), whose sum is σ = 3779620068. Its totient is φ = 709502976.

The previous prime is 1666242251. The next prime is 1666242269. The reversal of 1666242256 is 6522426661.

It can be written as a sum of positive squares in 2 ways, for example, as 1170734656 + 495507600 = 34216^2 + 22260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666242251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116320 + ... + 129856.

Almost surely, 21666242256 is an apocalyptic number.

1666242256 is a gapful number since it is divisible by the number (16) 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 1666242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889810034).

1666242256 is an abundant number, since it is smaller than the sum of its proper divisors (2113377812).

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

1666242256 is a wasteful number, since it uses less digits than its factorization.

1666242256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 13703 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 1666242256 is about 40819.6307675608. The cubic root of 1666242256 is about 1185.5304540558.

The spelling of 1666242256 in words is "one billion, six hundred sixty-six million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 157 196 314 392 628 784 1099 1256 2198 2512 4396 7693 8792 13537 15386 17584 27074 30772 54148 61544 94759 108296 123088 189518 216592 379036 663313 758072 1326626 1516144 2125309 2653252 4250618 5306504 8501236 10613008 14877163 17002472 29754326 34004944 59508652 104140141 119017304 208280282 238034608 416560564 833121128 1666242256