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2153752355105 = 51338985179053
BaseRepresentation
bin11111010101110101101…
…001001110000100100001
321121220012201000202100122
4133111311221032010201
5240241341100330410
64325230431330025
7311413663650101
oct37256551160441
97556181022318
102153752355105
1176044606895a
122a94b3380915
131281373387a0
147635672d201
153b056215e55
hex1f575a4e121

2153752355105 has 16 divisors (see below), whose sum is σ = 2790465809040. Its totient is φ = 1586374664448.

The previous prime is 2153752355099. The next prime is 2153752355159. The reversal of 2153752355105 is 5015532573512.

It can be written as a sum of positive squares in 8 ways, for example, as 314281329664 + 1839471025441 = 560608^2 + 1356271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153752355105 - 234 = 2136572485921 is a prime.

It is a super-2 number, since 2×21537523551052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42564242 + ... + 42614811.

It is an arithmetic number, because the mean of its divisors is an integer number (174404113065).

Almost surely, 22153752355105 is an apocalyptic number.

It is an amenable number.

2153752355105 is a deficient number, since it is larger than the sum of its proper divisors (636713453935).

2153752355105 is a wasteful number, since it uses less digits than its factorization.

2153752355105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85179460.

The product of its (nonzero) digits is 787500, while the sum is 44.

The spelling of 2153752355105 in words is "two trillion, one hundred fifty-three billion, seven hundred fifty-two million, three hundred fifty-five thousand, one hundred five".

Divisors: 1 5 13 65 389 1945 5057 25285 85179053 425895265 1107327689 5536638445 33134651617 165673258085 430750471021 2153752355105