Search a number
-
+
108048668820 = 223543166325183
BaseRepresentation
bin110010010100000110…
…0111101100010010100
3101022220002122002012220
41210220030331202110
53232240424400240
6121345321542340
710543355350161
oct1445014754224
9338802562186
10108048668820
1141906725114
1218b353449b0
13a25c163081
14532dd97068
152c25b4a5d0
hex192833d894

108048668820 has 96 divisors (see below), whose sum is σ = 309770452992. Its totient is φ = 28124869248.

The previous prime is 108048668747. The next prime is 108048668821. The reversal of 108048668820 is 28866840801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108048668821) 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, 4277949 + ... + 4303131.

It is an arithmetic number, because the mean of its divisors is an integer number (3226775552).

Almost surely, 2108048668820 is an apocalyptic number.

108048668820 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 108048668820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154885226496).

108048668820 is an abundant number, since it is smaller than the sum of its proper divisors (201721784172).

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

108048668820 is a wasteful number, since it uses less digits than its factorization.

108048668820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26901 (or 26899 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 108048668820 in words is "one hundred eight billion, forty-eight million, six hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1663 2580 3326 4989 6652 8315 9978 16630 19956 24945 25183 33260 49890 50366 71509 75549 99780 100732 125915 143018 151098 214527 251830 286036 302196 357545 377745 429054 503660 715090 755490 858108 1072635 1082869 1430180 1510980 2145270 2165738 3248607 4290540 4331476 5414345 6497214 10828690 12994428 16243035 21657380 32486070 41879329 64972140 83758658 125637987 167517316 209396645 251275974 418793290 502551948 628189935 837586580 1256379870 1800811147 2512759740 3601622294 5402433441 7203244588 9004055735 10804866882 18008111470 21609733764 27012167205 36016222940 54024334410 108048668820