Search a number
-
+
5071716624 = 24313171134231
BaseRepresentation
bin1001011100100110…
…00100000100010000
3111002110022220021110
410232103010010100
540341324412444
62155132253320
7236452610562
oct45623040420
914073286243
105071716624
112172940847
12b96611240
1362a97b870
1436180d332
151ea3c0cb9
hex12e4c4110

5071716624 has 160 divisors (see below), whose sum is σ = 15075535104. Its totient is φ = 1455390720.

The previous prime is 5071716623. The next prime is 5071716677. The reversal of 5071716624 is 4266171705.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5071716623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196589 + ... + 1200819.

Almost surely, 25071716624 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 5071716624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537767552).

5071716624 is an abundant number, since it is smaller than the sum of its proper divisors (10003818480).

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

5071716624 is a wasteful number, since it uses less digits than its factorization.

5071716624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 5071716624 is about 71215.9857335416. The cubic root of 5071716624 is about 1718.1127470059.

The spelling of 5071716624 in words is "five billion, seventy-one million, seven hundred sixteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 113 136 156 204 208 221 226 272 312 339 408 442 452 624 663 678 816 884 904 1326 1356 1469 1768 1808 1921 2652 2712 2938 3536 3842 4231 4407 5304 5424 5763 5876 7684 8462 8814 10608 11526 11752 12693 15368 16924 17628 23052 23504 24973 25386 30736 33848 35256 46104 49946 50772 55003 67696 70512 71927 74919 92208 99892 101544 110006 143854 149838 165009 199784 203088 215781 220012 287708 299676 330018 399568 431562 440024 478103 575416 599352 660036 863124 880048 935051 956206 1150832 1198704 1320072 1434309 1726248 1870102 1912412 2640144 2805153 2868618 3452496 3740204 3824824 5610306 5737236 6215339 7480408 7649648 8127751 11220612 11474472 12430678 14960816 16255502 18646017 22441224 22948944 24383253 24861356 32511004 37292034 44882448 48766506 49722712 65022008 74584068 97533012 99445424 105660763 130044016 149168136 195066024 211321526 298336272 316982289 390132048 422643052 633964578 845286104 1267929156 1690572208 2535858312 5071716624