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168248751860 = 22576122378807
BaseRepresentation
bin1001110010110001101…
…0000011011011110100
3121002021112201011022002
42130230122003123310
510224033140024420
6205143054354432
715104234536310
oct2345432033364
9532245634262
10168248751860
1165399041562
12287361bba18
1312b341a6297
148201250b40
15459ac22075
hex272c6836f4

168248751860 has 96 divisors (see below), whose sum is σ = 410646716928. Its totient is φ = 56707822080.

The previous prime is 168248751779. The next prime is 168248751877. The reversal of 168248751860 is 68157842861.

168248751860 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 168248751796 and 168248751805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19099577 + ... + 19108383.

It is an arithmetic number, because the mean of its divisors is an integer number (4277569968).

Almost surely, 2168248751860 is an apocalyptic number.

168248751860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168248751860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205323358464).

168248751860 is an abundant number, since it is smaller than the sum of its proper divisors (242397965068).

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

168248751860 is a wasteful number, since it uses less digits than its factorization.

168248751860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11119 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 168248751860 in words is "one hundred sixty-eight billion, two hundred forty-eight million, seven hundred fifty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 2237 4270 4474 8540 8807 8948 11185 15659 17614 22370 31318 35228 44035 44740 61649 62636 78295 88070 123298 136457 156590 176140 246596 272914 308245 313180 537227 545828 616490 682285 955199 1074454 1232980 1364570 1910398 2148908 2686135 2729140 3760589 3820796 4775995 5372270 7521178 9551990 10744540 15042356 18802945 19103980 19701259 37605890 39402518 75211780 78805036 98506295 137908813 197012590 275817626 394025180 551635252 689544065 1201776799 1379088130 2403553598 2758176260 4807107196 6008883995 8412437593 12017767990 16824875186 24035535980 33649750372 42062187965 84124375930 168248751860