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2666616348 = 2231153675689
BaseRepresentation
bin1001111011110001…
…0101011000011100
320212211201010221110
42132330111120130
520430123210343
61120334502020
7123036602454
oct23674253034
96784633843
102666616348
111149265370
12625064910
133365c85c6
141b4222d64
1510918d833
hex9ef1561c

2666616348 has 96 divisors (see below), whose sum is σ = 7020276480. Its totient is φ = 780848640.

The previous prime is 2666616289. The next prime is 2666616391. The reversal of 2666616348 is 8436166662.

It is a super-2 number, since 2×26666163482 = 14221685494841714208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2666616297 and 2666616306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 465888 + ... + 471576.

It is an arithmetic number, because the mean of its divisors is an integer number (73127880).

Almost surely, 22666616348 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 2666616348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510138240).

2666616348 is an abundant number, since it is smaller than the sum of its proper divisors (4353660132).

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

2666616348 is a wasteful number, since it uses less digits than its factorization.

2666616348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5825 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 2666616348 is about 51639.2907387389. The cubic root of 2666616348 is about 1386.7138263927.

The spelling of 2666616348 in words is "two billion, six hundred sixty-six million, six hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 67 106 132 134 159 201 212 268 318 402 583 636 737 804 1166 1474 1749 2211 2332 2948 3498 3551 4422 5689 6996 7102 8844 10653 11378 14204 17067 21306 22756 34134 39061 42612 62579 68268 78122 117183 125158 156244 187737 234366 250316 301517 375474 381163 468732 603034 750948 762326 904551 1143489 1206068 1524652 1809102 2286978 3316687 3618204 4192793 4573956 6633374 8385586 9950061 12578379 13266748 16771172 19900122 20201639 25156758 39800244 40403278 50313516 60604917 80806556 121209834 222218029 242419668 444436058 666654087 888872116 1333308174 2666616348