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248084367414 = 231330720395081
BaseRepresentation
bin1110011100001011111…
…0110000100000110110
3212201100102111122020020
43213002332300200312
513031034044224124
6305545100550010
723631522221052
oct3470276604066
9781312448206
10248084367414
1196237181124
12400b6b52306
131a518243aa0
14c016238c62
1566bea6e379
hex39c2fb0836

248084367414 has 64 divisors (see below), whose sum is σ = 536444536320. Its totient is φ = 76032725760.

The previous prime is 248084367383. The next prime is 248084367431. The reversal of 248084367414 is 414763480842.

It is a happy number.

248084367414 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48823354 + ... + 48828434.

It is an arithmetic number, because the mean of its divisors is an integer number (8381945880).

Almost surely, 2248084367414 is an apocalyptic number.

248084367414 is an abundant number, since it is smaller than the sum of its proper divisors (288360168906).

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

248084367414 is a wasteful number, since it uses less digits than its factorization.

248084367414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445.

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 248084367414 in words is "two hundred forty-eight billion, eighty-four million, three hundred sixty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 307 614 921 1842 2039 3991 4078 5081 6117 7982 10162 11973 12234 15243 23946 26507 30486 53014 66053 79521 132106 159042 198159 396318 625973 1251946 1559867 1877919 3119734 3755838 4679601 8137649 9359202 10360159 16275298 20278271 20720318 24412947 31080477 40556542 48825894 60834813 62160954 121669626 134682067 269364134 404046201 808092402 3180568813 6361137626 9541706439 19083412878 41347394569 82694789138 124042183707 248084367414