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4985630712 = 2332375335311
BaseRepresentation
bin1001010010010101…
…01010111111111000
3110212110100021121100
410221022222333320
540202310140322
62142415211400
7234356106336
oct45112527770
913773307540
104985630712
112129293167
12b71816b60
13615b9a35a
14354200b56
151e2a68dac
hex1292aaff8

4985630712 has 96 divisors (see below), whose sum is σ = 14129743680. Its totient is φ = 1586407680.

The previous prime is 4985630687. The next prime is 4985630717. The reversal of 4985630712 is 2170365894.

4985630712 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 630 + 7 + 1 + 2 = 666.

4985630712 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4985630712 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985630717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123537 + ... + 158847.

It is an arithmetic number, because the mean of its divisors is an integer number (147184830).

It is a 1-persistent number, because it is pandigital, but 2⋅4985630712 = 9971261424 is not.

Almost surely, 24985630712 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 4985630712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064871840).

4985630712 is an abundant number, since it is smaller than the sum of its proper divisors (9144112968).

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

4985630712 is a wasteful number, since it uses less digits than its factorization.

4985630712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35413 (or 35406 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4985630712 is about 70608.9988032687. The cubic root of 4985630712 is about 1708.3362991776.

The spelling of 4985630712 in words is "four billion, nine hundred eighty-five million, six hundred thirty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1908 1961 2664 3816 3922 5883 7844 11766 15688 17649 23532 35298 35311 47064 70596 70622 105933 141192 141244 211866 282488 317799 423732 635598 847464 1271196 1306507 1871483 2542392 2613014 3742966 3919521 5226028 5614449 7485932 7839042 10452056 11228898 11758563 14971864 15678084 16843347 22457796 23517126 31356168 33686694 44915592 47034252 67373388 69244871 94068504 134746776 138489742 207734613 276979484 415469226 553958968 623203839 830938452 1246407678 1661876904 2492815356 4985630712