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259490081515992 = 2331927310921117839
BaseRepresentation
bin111011000000000100111110…
…001000011010100111011000
31021000210000020221102200002120
4323000010332020122213120
5233002441141332002432
62315520033041101240
7105441353060000565
oct7300047610324730
91230700227380076
10259490081515992
117575514213a138
122512aabb327820
13b1a3a6ab73552
14481155bb5386c
151eeedec3a3c2c
hexec013e21a9d8

259490081515992 has 384 divisors, whose sum is σ = 703770959232000. Its totient is φ = 79696233953280.

The previous prime is 259490081515963. The next prime is 259490081516021. The reversal of 259490081515992 is 299515180094952.

It is an interprime number because it is at equal distance from previous prime (259490081515963) and next prime (259490081516021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14546214609 + ... + 14546232447.

It is an arithmetic number, because the mean of its divisors is an integer number (1832736873000).

Almost surely, 2259490081515992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259490081515992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351885479616000).

259490081515992 is an abundant number, since it is smaller than the sum of its proper divisors (444280877716008).

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

259490081515992 is a wasteful number, since it uses less digits than its factorization.

259490081515992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18279 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 69.

The spelling of 259490081515992 in words is "two hundred fifty-nine trillion, four hundred ninety billion, eighty-one million, five hundred fifteen thousand, nine hundred ninety-two".