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248314429449 = 32467495111933
BaseRepresentation
bin1110011101000010110…
…0011000000000001001
3212201221110102000000100
43213100230120000021
513032021443220244
6310024000000013
723640314552622
oct3472054300011
9781843360010
10248314429449
1196345027139
1240160000009
131a553ac5378
14c038a04a49
1566d4d65b69
hex39d0b18009

248314429449 has 24 divisors (see below), whose sum is σ = 359547170112. Its totient is φ = 165141266400.

The previous prime is 248314429381. The next prime is 248314429453. The reversal of 248314429449 is 944924413842.

248314429449 is a `hidden beast` number, since 2 + 48 + 31 + 442 + 94 + 49 = 666.

It is not a de Polignac number, because 248314429449 - 233 = 239724494857 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 248314429395 and 248314429404.

It is not an unprimeable number, because it can be changed into a prime (248314409449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20803087 + ... + 20815019.

It is an arithmetic number, because the mean of its divisors is an integer number (14981132088).

Almost surely, 2248314429449 is an apocalyptic number.

It is an amenable number.

248314429449 is a deficient number, since it is larger than the sum of its proper divisors (111232740663).

248314429449 is a wasteful number, since it uses less digits than its factorization.

248314429449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17357 (or 17354 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 248314429449 in words is "two hundred forty-eight billion, three hundred fourteen million, four hundred twenty-nine thousand, four hundred forty-nine".

Divisors: 1 3 9 467 1401 4203 4951 11933 14853 35799 44559 107397 2312117 5572711 6936351 16718133 20809053 50154399 59080283 177240849 531722547 27590492161 82771476483 248314429449