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590010121010095 = 52913473130201181
BaseRepresentation
bin1000011000100111000110111…
…1101011010011101110101111
32212101001102020210010111122121
42012021301233223103232233
51104313211211434310340
65450502524023453411
7235163552551013602
oct20611615753235657
92771042223114577
10590010121010095
11160aa4983861685
125620bab78b7267
131c42a93c45a496
14a59a8dc3a2339
1548327b5a8c94a
hex2189c6fad3baf

590010121010095 has 16 divisors (see below), whose sum is σ = 732431817580320. Its totient is φ = 455728557916800.

The previous prime is 590010121010087. The next prime is 590010121010111.

590010121010095 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 590010121010095 - 23 = 590010121010087 is a prime.

It is a super-2 number, since 2×5900101210100952 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 590010121010095.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4435405 + ... + 34636585.

It is an arithmetic number, because the mean of its divisors is an integer number (45776988598770).

Almost surely, 2590010121010095 is an apocalyptic number.

590010121010095 is a deficient number, since it is larger than the sum of its proper divisors (142421696570225).

590010121010095 is a wasteful number, since it uses less digits than its factorization.

590010121010095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335946.

The product of its (nonzero) digits is 4050, while the sum is 34.

The spelling of 590010121010095 in words is "five hundred ninety trillion, ten billion, one hundred twenty-one million, ten thousand, ninety-five".

Divisors: 1 5 29 145 134731 673655 3907199 19535995 30201181 151005905 875834249 4379171245 4069035317311 20345176586555 118002024202019 590010121010095