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2478963116 = 2272594632
BaseRepresentation
bin1001001111000001…
…1111100110101100
320101202121101002202
42103300133212230
520034103304431
61045552441032
7115300560500
oct22360374654
96352541082
102478963116
111062345753
12592249178
133067750a6
14197336300
15e79728cb
hex93c1f9ac

2478963116 has 54 divisors (see below), whose sum is σ = 5143102020. Its totient is φ = 1042150032.

The previous prime is 2478963101. The next prime is 2478963119. The reversal of 2478963116 is 6113698742.

It is a super-2 number, since 2×24789631162 = 12290516260976858912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2478963119) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5353901 + ... + 5354363.

It is an arithmetic number, because the mean of its divisors is an integer number (95242630).

Almost surely, 22478963116 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 2478963116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571551010).

2478963116 is an abundant number, since it is smaller than the sum of its proper divisors (2664138904).

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

2478963116 is an equidigital number, since it uses as much as digits as its factorization.

2478963116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 531 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 2478963116 is about 49789.1867376843. The cubic root of 2478963116 is about 1353.3912209352.

The spelling of 2478963116 in words is "two billion, four hundred seventy-eight million, nine hundred sixty-three thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 463 826 926 1652 1852 2891 3241 5782 6482 11564 12964 22687 27317 45374 54634 90748 109268 191219 214369 382438 428738 764876 857476 1338533 1500583 2677066 3001166 5354132 6002332 10504081 12647771 21008162 25295542 42016324 50591084 88534397 177068794 354137588 619740779 1239481558 2478963116