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7012727316 = 22327214926681
BaseRepresentation
bin1101000011111110…
…11011101000010100
3200002201200110101100
412201333123220110
5103330224233231
63115511030100
7335532125100
oct64177335024
920081613340
107012727316
112a79557911
12143866b330
13879b40cba
144a7510900
152b09d01e6
hex1a1fdba14

7012727316 has 108 divisors (see below), whose sum is σ = 20759930100. Its totient is φ = 1990114560.

The previous prime is 7012727311. The next prime is 7012727329. The reversal of 7012727316 is 6137272107.

7012727316 is a `hidden beast` number, since 70 + 1 + 272 + 7 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 222308100 + 6790419216 = 14910^2 + 82404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7012727311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249496 + ... + 276176.

It is an arithmetic number, because the mean of its divisors is an integer number (192221575).

Almost surely, 27012727316 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 7012727316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10379965050).

7012727316 is an abundant number, since it is smaller than the sum of its proper divisors (13747202784).

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

7012727316 is a wasteful number, since it uses less digits than its factorization.

7012727316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26854 (or 26842 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7012727316 is about 83742.0283728547. The cubic root of 7012727316 is about 1914.0898370126.

The spelling of 7012727316 in words is "seven billion, twelve million, seven hundred twenty-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 149 196 252 294 298 441 447 588 596 882 894 1043 1341 1764 1788 2086 2682 3129 4172 5364 6258 7301 9387 12516 14602 18774 21903 26681 29204 37548 43806 53362 65709 80043 87612 106724 131418 160086 186767 240129 262836 320172 373534 480258 560301 747068 960516 1120602 1307369 1680903 2241204 2614738 3361806 3922107 3975469 5229476 6723612 7844214 7950938 11766321 11926407 15688428 15901876 23532642 23852814 27828283 35779221 47065284 47705628 55656566 71558442 83484849 111313132 143116884 166969698 194797981 250454547 333939396 389595962 500909094 584393943 779191924 1001818188 1168787886 1753181829 2337575772 3506363658 7012727316