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4948639566 = 23131923413541
BaseRepresentation
bin1001001101111011…
…00011111101001110
3110202212201221021220
410212331203331032
540113322431231
62135014304210
7233426512413
oct44675437516
913685657256
104948639566
11210a418172
12b61358066
1360b3181c0
1434d33210a
151de6ad896
hex126f63f4e

4948639566 has 128 divisors (see below), whose sum is σ = 11996328960. Its totient is φ = 1345766400.

The previous prime is 4948639561. The next prime is 4948639601. The reversal of 4948639566 is 6659368494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948639561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395756 + ... + 1399296.

It is an arithmetic number, because the mean of its divisors is an integer number (93721320).

Almost surely, 24948639566 is an apocalyptic number.

4948639566 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4948639566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998164480).

4948639566 is an abundant number, since it is smaller than the sum of its proper divisors (7047689394).

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

4948639566 is a wasteful number, since it uses less digits than its factorization.

4948639566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642.

The product of its digits is 33592320, while the sum is 60.

The square root of 4948639566 is about 70346.5675495258. The cubic root of 4948639566 is about 1704.1007766502.

The spelling of 4948639566 in words is "four billion, nine hundred forty-eight million, six hundred thirty-nine thousand, five hundred sixty-six".

Divisors: 1 2 3 6 13 19 23 26 38 39 41 46 57 69 78 82 114 123 138 246 247 299 437 494 533 598 741 779 874 897 943 1066 1311 1482 1558 1599 1794 1886 2337 2622 2829 3198 3541 4674 5658 5681 7082 10127 10623 11362 12259 17043 17917 20254 21246 24518 30381 34086 35834 36777 46033 53751 60762 67279 73554 81443 92066 107502 134558 138099 145181 162886 201837 232921 244329 276198 290362 403674 435543 465842 488658 698763 871086 874627 1058759 1397526 1547417 1749254 1887353 2117518 2623881 2758439 3094834 3176277 3339163 3774706 4642251 5247762 5516878 5662059 6352554 6678326 8275317 9284502 10017489 11324118 16550634 20034978 20116421 35859707 40232842 43409119 60349263 63444097 71719414 86818238 107579121 120698526 126888194 130227357 190332291 215158242 260454714 380664582 824773261 1649546522 2474319783 4948639566