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85254240519 = 32710322075953
BaseRepresentation
bin100111101100110001…
…1000111100100000111
322011001111220010222200
41033121203013210013
52344100041144034
6103055410125543
76105452042040
oct1173143074407
9264044803880
1085254240519
1133179883818
12146335808b3
13806885c286
1441aa8db8c7
15233e8e5a99
hex13d98c7907

85254240519 has 48 divisors (see below), whose sum is σ = 142191808512. Its totient is φ = 48213771264.

The previous prime is 85254240497. The next prime is 85254240523. The reversal of 85254240519 is 91504245258.

85254240519 is a `hidden beast` number, since 8 + 52 + 5 + 42 + 40 + 519 = 666.

It is not a de Polignac number, because 85254240519 - 216 = 85254174983 is a prime.

It is a super-2 number, since 2×852542405192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85254240569) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14318247 + ... + 14324199.

It is an arithmetic number, because the mean of its divisors is an integer number (2962329344).

Almost surely, 285254240519 is an apocalyptic number.

85254240519 is a deficient number, since it is larger than the sum of its proper divisors (56937567993).

85254240519 is a wasteful number, since it uses less digits than its factorization.

85254240519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 85254240519 in words is "eighty-five billion, two hundred fifty-four million, two hundred forty thousand, five hundred nineteen".

Divisors: 1 3 7 9 21 63 103 309 721 927 2163 2207 5953 6489 6621 15449 17859 19863 41671 46347 53577 125013 139041 227321 375039 613159 681963 1591247 1839477 2045889 4292113 4773741 5518431 12876339 13138271 14321223 38629017 39414813 91967897 118244439 275903691 827711073 1353241913 4059725739 9472693391 12179177217 28418080173 85254240519