Search a number
-
+
2162666373120 = 2173351141271
BaseRepresentation
bin11111011110001000111…
…101100000000000000000
321122202012221022210021000
4133132020331200000000
5240413120042414440
64333303141532000
7312150613601601
oct37361075400000
97582187283230
102162666373120
117641aa8725a0
122ab180714000
13128c28042966
1476960561da8
153b3c8aab730
hex1f788f60000

2162666373120 has 1152 divisors, whose sum is σ = 8624798300160. Its totient is φ = 509607936000.

The previous prime is 2162666373113. The next prime is 2162666373137. The reversal of 2162666373120 is 213736662612.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7980318585 + ... + 7980318855.

It is an arithmetic number, because the mean of its divisors is an integer number (7486804080).

Almost surely, 22162666373120 is an apocalyptic number.

2162666373120 is a gapful number since it is divisible by the number (20) 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 2162666373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312399150080).

2162666373120 is an abundant number, since it is smaller than the sum of its proper divisors (6462131927040).

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

2162666373120 is an equidigital number, since it uses as much as digits as its factorization.

2162666373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 2162666373120 in words is "two trillion, one hundred sixty-two billion, six hundred sixty-six million, three hundred seventy-three thousand, one hundred twenty".