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10257195386418 = 236757744220817
BaseRepresentation
bin1001010101000011000001…
…1111001100011000110010
31100022120121120201121111220
42111100300133030120302
52321023214004331133
633452031314445510
72106025602144111
oct225206037143062
940276546647456
1010257195386418
1132a5063433612
121197ab5b93896
13595331b506c6
142766453dbc78
1512bc2e7bd5b3
hex954307cc632

10257195386418 has 32 divisors (see below), whose sum is σ = 20856660368064. Its totient is φ = 3362197082112.

The previous prime is 10257195386407. The next prime is 10257195386467. The reversal of 10257195386418 is 81468359175201.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21878455 + ... + 22342362.

It is an arithmetic number, because the mean of its divisors is an integer number (651770636502).

It is a 3-persistent number, because k⋅10257195386418 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 210257195386418 is an apocalyptic number.

10257195386418 is an abundant number, since it is smaller than the sum of its proper divisors (10599464981646).

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

10257195386418 is a wasteful number, since it uses less digits than its factorization.

10257195386418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44221466.

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 10257195386418 in words is "ten trillion, two hundred fifty-seven billion, one hundred ninety-five million, three hundred eighty-six thousand, four hundred eighteen".

Divisors: 1 2 3 6 67 134 201 402 577 1154 1731 3462 38659 77318 115977 231954 44220817 88441634 132662451 265324902 2962794739 5925589478 8888384217 17776768434 25515411409 51030822818 76546234227 153092468454 1709532564403 3419065128806 5128597693209 10257195386418