Search a number
-
+
5359503826008 = 2333337463159023
BaseRepresentation
bin100110111111101101101…
…0100100101110001011000
3200222100211000222201011000
41031333123110211301120
51200302230434413013
615222042211105000
71062132333602013
oct115773324456130
920870730881130
105359503826008
111786a53207a72
1272685aba2160
132cb525907577
1414758950037a
159462dcc3973
hex4dfdb525c58

5359503826008 has 128 divisors (see below), whose sum is σ = 14964031180800. Its totient is φ = 1777341823488.

The previous prime is 5359503826007. The next prime is 5359503826013. The reversal of 5359503826008 is 8006283059535.

5359503826008 is a `hidden beast` number, since 5 + 3 + 59 + 503 + 82 + 6 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359503826007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33623185 + ... + 33782207.

It is an arithmetic number, because the mean of its divisors is an integer number (116906493600).

Almost surely, 25359503826008 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 5359503826008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482015590400).

5359503826008 is an abundant number, since it is smaller than the sum of its proper divisors (9604527354792).

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

5359503826008 is a wasteful number, since it uses less digits than its factorization.

5359503826008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159838 (or 159828 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5359503826008 in words is "five trillion, three hundred fifty-nine billion, five hundred three million, eight hundred twenty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 337 463 674 926 1011 1348 1389 1852 2022 2696 2778 3033 3704 4044 4167 5556 6066 8088 8334 9099 11112 12132 12501 16668 18198 24264 25002 33336 36396 50004 72792 100008 156031 159023 312062 318046 468093 477069 624124 636092 936186 954138 1248248 1272184 1404279 1431207 1872372 1908276 2808558 2862414 3744744 3816552 4212837 4293621 5617116 5724828 8425674 8587242 11234232 11449656 16851348 17174484 33702696 34348968 53590751 73627649 107181502 147255298 160772253 214363004 220882947 294510596 321544506 428726008 441765894 482316759 589021192 643089012 662648841 883531788 964633518 1286178024 1325297682 1446950277 1767063576 1929267036 1987946523 2650595364 2893900554 3858534072 3975893046 5301190728 5787801108 7951786092 11575602216 15903572184 24812517713 49625035426 74437553139 99250070852 148875106278 198500141704 223312659417 297750212556 446625318834 595500425112 669937978251 893250637668 1339875956502 1786501275336 2679751913004 5359503826008