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259629103981 = 13134691482773
BaseRepresentation
bin1111000111001100011…
…0011011101101101101
3220211010222222000120001
43301303012123231231
513223210022311411
6315134424424301
724520564654132
oct3616306335555
9824128860501
10259629103981
11a0120951625
1242399318091
131b637c87c60
14c7cd5c8589
156b48361dc1
hex3c7319bb6d

259629103981 has 8 divisors (see below), whose sum is σ = 279621520920. Its totient is φ = 239639679552.

The previous prime is 259629103969. The next prime is 259629103991. The reversal of 259629103981 is 189301926952.

It can be written as a sum of positive squares in 4 ways, for example, as 48024900 + 259581079081 = 6930^2 + 509491^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 259629103981 - 217 = 259628972909 is a prime.

It is a super-2 number, since 2×2596291039812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259629103991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566290 + ... + 916483.

It is an arithmetic number, because the mean of its divisors is an integer number (34952690115).

Almost surely, 2259629103981 is an apocalyptic number.

It is an amenable number.

259629103981 is a deficient number, since it is larger than the sum of its proper divisors (19992416939).

259629103981 is a wasteful number, since it uses less digits than its factorization.

259629103981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496255.

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 259629103981 in words is "two hundred fifty-nine billion, six hundred twenty-nine million, one hundred three thousand, nine hundred eighty-one".

Divisors: 1 13 13469 175097 1482773 19276049 19971469537 259629103981