Search a number
-
+
2123326960020 = 223357972227263
BaseRepresentation
bin11110111001100000001…
…001100011000110010100
321111222200022021112122000
4132321200021203012110
5234242033200210040
64303235401435300
7306256010240250
oct36714011430624
97458608245560
102123326960020
11749552794242
122a3621a9bb30
131252c8ab0126
1474aab9cd260
153a3750ae130
hex1ee60263194

2123326960020 has 576 divisors, whose sum is σ = 7690977423360. Its totient is φ = 476394172416.

The previous prime is 2123326960009. The next prime is 2123326960091. The reversal of 2123326960020 is 200696233212.

It is a happy number.

2123326960020 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 26 + 9 + 600 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8073486409 + ... + 8073486671.

It is an arithmetic number, because the mean of its divisors is an integer number (13352391360).

Almost surely, 22123326960020 is an apocalyptic number.

2123326960020 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 2123326960020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845488711680).

2123326960020 is an abundant number, since it is smaller than the sum of its proper divisors (5567650463340).

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

2123326960020 is a wasteful number, since it uses less digits than its factorization.

2123326960020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 2123326960020 in words is "two trillion, one hundred twenty-three billion, three hundred twenty-six million, nine hundred sixty thousand, twenty".