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248423404324842 = 2334600433413423
BaseRepresentation
bin111000011111000010010100…
…110001001100011111101010
31012120121001020011212201202000
4320133002110301030133222
5230030132113001343332
62240204045245551430
7103216666354645035
oct7037022461143752
91176531204781660
10248423404324842
11721788573a167a
1223a42153575576
13a8802c3841c46
14454ba84ddc01c
151dac0e2194b7c
hexe1f094c4c7ea

248423404324842 has 16 divisors (see below), whose sum is σ = 552052009610880. Its totient is φ = 82807801441596.

The previous prime is 248423404324801. The next prime is 248423404324847.

248423404324842 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 234 + 0 + 4 + 324 + 84 + 2 = 666.

248423404324842 is nontrivially palindromic in base 10.

248423404324842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 4600433413423 = 248423404324842 / (2 + 4 + 8 + 4 + 2 + 3 + 4 + 0 + 4 + 3 + 2 + 4 + 8 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (248423404324847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2300216706658 + ... + 2300216706765.

It is an arithmetic number, because the mean of its divisors is an integer number (34503250600680).

Almost surely, 2248423404324842 is an apocalyptic number.

248423404324842 is an abundant number, since it is smaller than the sum of its proper divisors (303628605286038).

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

248423404324842 is a wasteful number, since it uses less digits than its factorization.

248423404324842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600433413434 (or 4600433413428 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 54.

The spelling of 248423404324842 in words is "two hundred forty-eight trillion, four hundred twenty-three billion, four hundred four million, three hundred twenty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 4600433413423 9200866826846 13801300240269 27602600480538 41403900720807 82807801441614 124211702162421 248423404324842