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8462428242648 = 233675262704131
BaseRepresentation
bin111101100100101000000…
…0001111000001011011000
31002222000000011201002022020
41323021100001320023120
52102122023112231043
625555330314054440
71532250601140462
oct173112001701330
932860004632266
108462428242648
1127729941452a6
12b480aa11a420
13495007a86443
142138259c7132
15ea1d9365e83
hex7b2500782d8

8462428242648 has 32 divisors (see below), whose sum is σ = 21471832858560. Its totient is φ = 2778707780640.

The previous prime is 8462428242607. The next prime is 8462428242649.

8462428242648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84624282426482 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8462428242591 and 8462428242600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8462428242649) 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, 2631350458 + ... + 2631353673.

It is an arithmetic number, because the mean of its divisors is an integer number (670994776830).

Almost surely, 28462428242648 is an apocalyptic number.

It is an amenable number.

8462428242648 is an abundant number, since it is smaller than the sum of its proper divisors (13009404615912).

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

8462428242648 is a wasteful number, since it uses less digits than its factorization.

8462428242648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262704207 (or 5262704203 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 60.

The spelling of 8462428242648 in words is "eight trillion, four hundred sixty-two billion, four hundred twenty-eight million, two hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 5262704131 10525408262 15788112393 21050816524 31576224786 42101633048 63152449572 126304899144 352601176777 705202353554 1057803530331 1410404707108 2115607060662 2820809414216 4231214121324 8462428242648