Search a number
-
+
2371783680000 = 213345471943
BaseRepresentation
bin100010100000111001010…
…100101110000000000000
322101201222200102122120000
4202200321110232000000
5302324403110230000
65013325443320000
7333233003433330
oct42407124560000
98351880378500
102371783680000
11834960067359
12323801680000
13142873205277
1482b1b4730c0
1541a67680000
hex2283952e000

2371783680000 has 2800 divisors, whose sum is σ = 10899397576320. Its totient is φ = 501645312000.

The previous prime is 2371783679987. The next prime is 2371783680001. The reversal of 2371783680000 is 863871732.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a super-3 number, since 3×23717836800003 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2371783680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 55157759979 + ... + 55157760021.

Almost surely, 22371783680000 is an apocalyptic number.

2371783680000 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 2371783680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449698788160).

2371783680000 is an abundant number, since it is smaller than the sum of its proper divisors (8527613896320).

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

2371783680000 is an frugal number, since it uses more digits than its factorization.

2371783680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2371783680000 in words is "two trillion, three hundred seventy-one billion, seven hundred eighty-three million, six hundred eighty thousand".