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248622492168 = 2332587632
BaseRepresentation
bin1110011110001100001…
…1100010101000001000
3212202201221002012121200
43213203003202220020
513033134324222133
6310114322504200
723651045212641
oct3474303425010
9782657065550
10248622492168
1196492a08226
1240227205060
131a5a2886cbb
14c0678b66c8
156701e18913
hex39e30e2a08

248622492168 has 36 divisors (see below), whose sum is σ = 673364041935. Its totient is φ = 82872753744.

The previous prime is 248622492077. The next prime is 248622492191. The reversal of 248622492168 is 861294226842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

248622492168 is a `hidden beast` number, since 2 + 4 + 8 + 622 + 4 + 9 + 2 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124311246084 + 124311246084 = 352578^2 + 352578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=352578.

It is a super-2 number, since 2×2486224921682 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4201555 + ... + 4260317.

Almost surely, 2248622492168 is an apocalyptic number.

It is an amenable number.

248622492168 is an abundant number, since it is smaller than the sum of its proper divisors (424741549767).

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

248622492168 is an frugal number, since it uses more digits than its factorization.

248622492168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117538 (or 58768 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 248622492168 in words is "two hundred forty-eight billion, six hundred twenty-two million, four hundred ninety-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 58763 117526 176289 235052 352578 470104 528867 705156 1057734 1410312 2115468 4230936 3453090169 6906180338 10359270507 13812360676 20718541014 27624721352 31077811521 41437082028 62155623042 82874164056 124311246084 248622492168