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2134623456 = 253477
BaseRepresentation
bin111111100111011…
…1100010011100000
312111202200002220000
41333032330103200
513332430422311
6551452220000
7103620000000
oct17716742340
95452602800
102134623456
119a5a37219
124b6a6a600
13280321404
14163700000
15c7606056
hex7f3bc4e0

2134623456 has 240 divisors, whose sum is σ = 7324178400. Its totient is φ = 609892416.

The previous prime is 2134623433. The next prime is 2134623473. The reversal of 2134623456 is 6543264312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2134623456 is a `hidden beast` number, since 21 + 3 + 4 + 623 + 4 + 5 + 6 = 666.

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

Its product of digits (103680) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2134623456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304946205 + ... + 304946211.

It is an arithmetic number, because the mean of its divisors is an integer number (30517410).

Almost surely, 22134623456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134623456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662089200).

2134623456 is an abundant number, since it is smaller than the sum of its proper divisors (5189554944).

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

2134623456 is an frugal number, since it uses more digits than its factorization.

2134623456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2134623456 is about 46201.9854118846. The cubic root of 2134623456 is about 1287.5786271270.

Adding to 2134623456 its reverse (6543264312), we get a palindrome (8677887768).

The spelling of 2134623456 in words is "two billion, one hundred thirty-four million, six hundred twenty-three thousand, four hundred fifty-six".