Search a number
-
+
2468364686424 = 233571331450101
BaseRepresentation
bin100011111010110110000…
…000000001010001011000
322201222021120122010100000
4203322312000001101120
5310420202324431144
65125541233413000
7343222243436460
oct43726600012130
98658246563300
102468364686424
11871911573a2a
1233a47640a160
1314b9c559b890
14876803c0ba0
154431b65e769
hex23eb6001458

2468364686424 has 384 divisors, whose sum is σ = 8807884001280. Its totient is φ = 629995968000.

The previous prime is 2468364686423. The next prime is 2468364686467. The reversal of 2468364686424 is 4246864638642.

2468364686424 is a `hidden beast` number, since 2 + 4 + 68 + 36 + 46 + 86 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468364686423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5258974 + ... + 5709074.

It is an arithmetic number, because the mean of its divisors is an integer number (22937197920).

Almost surely, 22468364686424 is an apocalyptic number.

2468364686424 is a gapful number since it is divisible by the number (24) 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 2468364686424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403942000640).

2468364686424 is an abundant number, since it is smaller than the sum of its proper divisors (6339519314856).

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

2468364686424 is a wasteful number, since it uses less digits than its factorization.

2468364686424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450173 (or 450157 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 63.

The spelling of 2468364686424 in words is "two trillion, four hundred sixty-eight billion, three hundred sixty-four million, six hundred eighty-six thousand, four hundred twenty-four".