Search a number
-
+
6713697312 = 25357123341
BaseRepresentation
bin1100100000010101…
…01110010000100000
3122022220000011100000
412100022232100200
5102222201303222
63030105500000
7325241325360
oct62012562040
918286004300
106713697312
112935786183
1213744a1600
1382cbc287a
144799109a0
152946139ac
hex1902ae420

6713697312 has 144 divisors (see below), whose sum is σ = 22627829952. Its totient is φ = 1918183680.

The previous prime is 6713697283. The next prime is 6713697343. The reversal of 6713697312 is 2137963176.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7239 + ... + 116102.

It is an arithmetic number, because the mean of its divisors is an integer number (157137708).

Almost surely, 26713697312 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 6713697312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313914976).

6713697312 is an abundant number, since it is smaller than the sum of its proper divisors (15914132640).

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

6713697312 is a wasteful number, since it uses less digits than its factorization.

6713697312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123373 (or 123353 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 6713697312 is about 81937.1546491578. The cubic root of 6713697312 is about 1886.4874442304.

The spelling of 6713697312 in words is "six billion, seven hundred thirteen million, six hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 123341 246682 370023 493364 740046 863387 986728 1110069 1480092 1726774 1973456 2220138 2590161 2960184 3330207 3453548 3946912 4440276 5180322 5920368 6660414 6907096 7770483 8880552 9990621 10360644 11840736 13320828 13814192 15540966 17761104 19981242 20721288 23311449 26641656 27628384 29971863 31081932 35522208 39962484 41442576 46622898 53283312 59943726 62163864 69934347 79924968 82885152 93245796 106566624 119887452 124327728 139868694 159849936 186491592 209803041 239774904 248655456 279737388 319699872 372983184 419606082 479549808 559474776 745966368 839212164 959099616 1118949552 1678424328 2237899104 3356848656 6713697312