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2453452543542 = 23711213101367687
BaseRepresentation
bin100011101100111101001…
…010101101011000110110
322200112210022210202221210
4203230331022231120312
5310144132322343132
65115033414422250
7342153561346320
oct43547512553066
98615708722853
102453452543542
11866559aaa300
123375b4361986
1314a48a0042b0
1486a67b0a610
1543c47401bcc
hex23b3d2ad636

2453452543542 has 192 divisors, whose sum is σ = 6703946468352. Its totient is φ = 582414624000.

The previous prime is 2453452543483. The next prime is 2453452543559.

2453452543542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2453452543491 and 2453452543500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6488823 + ... + 6856509.

It is an arithmetic number, because the mean of its divisors is an integer number (34916387856).

Almost surely, 22453452543542 is an apocalyptic number.

2453452543542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2453452543542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351973234176).

2453452543542 is an abundant number, since it is smaller than the sum of its proper divisors (4250493924810).

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

2453452543542 is a wasteful number, since it uses less digits than its factorization.

2453452543542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367835 (or 367824 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 48.

The spelling of 2453452543542 in words is "two trillion, four hundred fifty-three billion, four hundred fifty-two million, five hundred forty-three thousand, five hundred forty-two".