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2149555323300 = 223527111923316869
BaseRepresentation
bin11111010001111011011…
…110110100000110100100
321121111101012120110002020
4133101323132310012210
5240204242130321200
64323254142343140
7311204661530550
oct37217336640644
97544335513066
102149555323300
11759691a39830
122a872188aab0
1312791895bb08
147607916a860
153adaca20ea0
hex1f47b7b41a4

2149555323300 has 1152 divisors, whose sum is σ = 8793037209600. Its totient is φ = 391640832000.

The previous prime is 2149555323271. The next prime is 2149555323301. The reversal of 2149555323300 is 33235559412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2149555323301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 312932266 + ... + 312939134.

It is an arithmetic number, because the mean of its divisors is an integer number (7632844800).

Almost surely, 22149555323300 is an apocalyptic number.

2149555323300 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 2149555323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396518604800).

2149555323300 is an abundant number, since it is smaller than the sum of its proper divisors (6643481886300).

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

2149555323300 is a wasteful number, since it uses less digits than its factorization.

2149555323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 2149555323300 in words is "two trillion, one hundred forty-nine billion, five hundred fifty-five million, three hundred twenty-three thousand, three hundred".