Search a number
-
+
108482645612880 = 243357211412272657
BaseRepresentation
bin11000101010101000010101…
…100011100101100101010000
3112020002211200002120102202000
4120222220111203211211100
5103204334424234103010
61022420123413154000
731564420042161300
oct3052502543454520
9466084602512660
10108482645612880
1131625260347a10
12102007b662b900
13486bb3c633746
141cb0833905600
15c81d389dc7c0
hex62aa158e5950

108482645612880 has 960 divisors, whose sum is σ = 485749557538560. Its totient is φ = 21992037580800.

The previous prime is 108482645612851. The next prime is 108482645612899. The reversal of 108482645612880 is 88216546284801.

108482645612880 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 8 + 2 + 6 + 4 + 5 + 612 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46597512 + ... + 48870168.

It is an arithmetic number, because the mean of its divisors is an integer number (505989122436).

Almost surely, 2108482645612880 is an apocalyptic number.

108482645612880 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 108482645612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242874778769280).

108482645612880 is an abundant number, since it is smaller than the sum of its proper divisors (377266911925680).

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

108482645612880 is a wasteful number, since it uses less digits than its factorization.

108482645612880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272745 (or 2272726 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 108482645612880 in words is "one hundred eight trillion, four hundred eighty-two billion, six hundred forty-five million, six hundred twelve thousand, eight hundred eighty".