Search a number
-
+
2169911268000 = 2535537318917
BaseRepresentation
bin11111100100111000110…
…010100101001010100000
321200102220211212120200000
4133210320302211022200
5241022434241034000
64340502105100000
7312525265311240
oct37447062451240
97612824776600
102169911268000
11767288383323
122b0662a87600
13129810cc16c8
147704a829b20
153b69eb4c000
hex1f938ca52a0

2169911268000 has 576 divisors, whose sum is σ = 9127157614848. Its totient is φ = 495978163200.

The previous prime is 2169911267969. The next prime is 2169911268011. The reversal of 2169911268000 is 8621199612.

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

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 95 ways as a sum of consecutive naturals, for example, 6644542 + ... + 6963458.

It is an arithmetic number, because the mean of its divisors is an integer number (15845759748).

Almost surely, 22169911268000 is an apocalyptic number.

2169911268000 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 2169911268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563578807424).

2169911268000 is an abundant number, since it is smaller than the sum of its proper divisors (6957246346848).

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

2169911268000 is an equidigital number, since it uses as much as digits as its factorization.

2169911268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318964 (or 318934 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 2169911268000 in words is "two trillion, one hundred sixty-nine billion, nine hundred eleven million, two hundred sixty-eight thousand".