Search a number
-
+
48823261312 = 27728393787
BaseRepresentation
bin101101011110000101…
…111101100010000000
311200000120120122121111
4231132011331202000
51244442223330222
634232403533104
73345612605500
oct553605754200
9150016518544
1048823261312
1119784504941
12956698a194
1347b1031247
142512337a00
15140b401777
hexb5e17d880

48823261312 has 96 divisors (see below), whose sum is σ = 114509520720. Its totient is φ = 20671934976.

The previous prime is 48823261309. The next prime is 48823261379. The reversal of 48823261312 is 21316232884.

It is a super-2 number, since 2×488232613122 (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 473683 + ... + 567469.

Almost surely, 248823261312 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 48823261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57254760360).

48823261312 is an abundant number, since it is smaller than the sum of its proper divisors (65686259408).

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

48823261312 is an equidigital number, since it uses as much as digits as its factorization.

48823261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93898 (or 93879 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The spelling of 48823261312 in words is "forty-eight billion, eight hundred twenty-three million, two hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 166 196 224 332 392 448 581 664 784 896 1162 1328 1568 2324 2656 3136 4067 4648 5312 6272 8134 9296 10624 16268 18592 32536 37184 65072 74368 93787 130144 187574 260288 375148 520576 656509 750296 1313018 1500592 2626036 3001184 4595563 5252072 6002368 7784321 9191126 10504144 12004736 15568642 18382252 21008288 31137284 36764504 42016576 54490247 62274568 73529008 84033152 108980494 124549136 147058016 217960988 249098272 294116032 381431729 435921976 498196544 588232064 762863458 871843952 996393088 1525726916 1743687904 3051453832 3487375808 6102907664 6974751616 12205815328 24411630656 48823261312