Search a number
-
+
5374163056256 = 27439710397729
BaseRepresentation
bin100111000110100010100…
…0101000111011010000000
3201000202122122220202121122
41032031011011013122000
51201022241220300011
615232504553211412
71063161525156431
oct116150505073200
921022578822548
105374163056256
111792195a39695
12729670400b68
132cca2097c7c7
1414817a37b488
1594bdac243db
hex4e345147680

5374163056256 has 128 divisors (see below), whose sum is σ = 11175839875200. Its totient is φ = 2572288524288.

The previous prime is 5374163056243. The next prime is 5374163056303. The reversal of 5374163056256 is 6526503614735.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5374163056198 and 5374163056207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54941600 + ... + 55039328.

It is an arithmetic number, because the mean of its divisors is an integer number (87311249025).

Almost surely, 25374163056256 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 5374163056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587919937600).

5374163056256 is an abundant number, since it is smaller than the sum of its proper divisors (5801676818944).

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

5374163056256 is a wasteful number, since it uses less digits than its factorization.

5374163056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97986 (or 97974 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 53.

The spelling of 5374163056256 in words is "five trillion, three hundred seventy-four billion, one hundred sixty-three million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 97 103 128 172 194 206 344 388 412 688 776 824 1376 1552 1648 2752 3104 3296 4171 4429 5504 6208 6592 8342 8858 9991 12416 13184 16684 17716 19982 33368 35432 39964 66736 70864 79928 97729 133472 141728 159856 195458 266944 283456 319712 390916 429613 533888 566912 639424 781832 859226 1278848 1563664 1718452 3127328 3436904 4202347 6254656 6873808 8404694 9479713 10066087 12509312 13747616 16809388 18959426 20132174 27495232 33618776 37918852 40264348 54990464 67237552 75837704 80528696 134475104 151675408 161057392 268950208 303350816 322114784 407627659 432841741 537900416 606701632 644229568 815255318 865683482 976410439 1213403264 1288459136 1630510636 1731366964 1952820878 3261021272 3462733928 3905641756 6522042544 6925467856 7811283512 13044085088 13850935712 15622567024 26088170176 27701871424 31245134048 41985648877 52176340352 55403742848 62490268096 83971297754 124980536192 167942595508 335885191016 671770382032 1343540764064 2687081528128 5374163056256