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248253135087 = 32397113328243
BaseRepresentation
bin1110011100110100001…
…0100011100011101111
3212201210012001220221210
43213031002203203233
513031410300310322
6310013530125503
723635641555066
oct3471502434357
9781705056853
10248253135087
1196313471841
1240143580893
131a5441b4209
14c03080b1dd
1566ce7a970c
hex39cd0a38ef

248253135087 has 32 divisors (see below), whose sum is σ = 352045628928. Its totient is φ = 155287351296.

The previous prime is 248253135077. The next prime is 248253135103. The reversal of 248253135087 is 780531352842.

It is not a de Polignac number, because 248253135087 - 24 = 248253135071 is a prime.

It is a super-3 number, since 3×2482531350873 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248253135007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592188 + ... + 920430.

It is an arithmetic number, because the mean of its divisors is an integer number (11001425904).

Almost surely, 2248253135087 is an apocalyptic number.

248253135087 is a deficient number, since it is larger than the sum of its proper divisors (103792493841).

248253135087 is a wasteful number, since it uses less digits than its factorization.

248253135087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328479.

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 248253135087 in words is "two hundred forty-eight billion, two hundred fifty-three million, one hundred thirty-five thousand, eighty-seven".

Divisors: 1 3 23 69 97 113 291 339 2231 2599 6693 7797 10961 32883 252103 328243 756309 984729 7549589 22648767 31839571 37091459 95518713 111274377 732310133 853103557 2196930399 2559310671 3597871523 10793614569 82751045029 248253135087