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71688072248 = 23135922352391
BaseRepresentation
bin100001011000011110…
…0010010110000111000
320212001001202101122222
41002300330102300320
52133304121302443
652533312103212
75115332363042
oct1026074226070
9225031671588
1071688072248
1128448058801
1211a88234b08
1369b60a8a80
143680cb4a92
151ce890a468
hex10b0f12c38

71688072248 has 64 divisors (see below), whose sum is σ = 147871180800. Its totient is φ = 32379534720.

The previous prime is 71688072233. The next prime is 71688072299. The reversal of 71688072248 is 84227088617.

It is a self number, because there is not a number n which added to its sum of digits gives 71688072248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342133 + ... + 1394523.

It is an arithmetic number, because the mean of its divisors is an integer number (2310487200).

Almost surely, 271688072248 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 71688072248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73935590400).

71688072248 is an abundant number, since it is smaller than the sum of its proper divisors (76183108552).

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

71688072248 is a wasteful number, since it uses less digits than its factorization.

71688072248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52692 (or 52688 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 53.

The spelling of 71688072248 in words is "seventy-one billion, six hundred eighty-eight million, seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 59 104 118 223 236 446 472 767 892 1534 1784 2899 3068 5798 6136 11596 13157 23192 26314 52391 52628 104782 105256 171041 209564 342082 419128 681083 684164 1362166 1368328 2724332 3091069 5448664 6182138 11683193 12364276 23366386 24728552 40183897 46732772 80367794 93465544 151881509 160735588 303763018 321471176 607526036 689308387 1215052072 1378616774 2757233548 5514467096 8961009031 17922018062 35844036124 71688072248