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10027199729 = 107277373907
BaseRepresentation
bin10010101011010101…
…01110110011110001
3221212210221112010202
421111222232303301
5131013430342404
64334553404545
7503324535311
oct112552566361
927783845122
1010027199729
114286102628
121b3a109755
13c3a5219a1
146b1a03441
153da48221e
hex255aaecf1

10027199729 has 16 divisors (see below), whose sum is σ = 10195910208. Its totient is φ = 9860208192.

The previous prime is 10027199723. The next prime is 10027199737. The reversal of 10027199729 is 92799172001.

It is a cyclic number.

It is not a de Polignac number, because 10027199729 - 28 = 10027199473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10027199723) by changing a digit.

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, 11054894 + ... + 11055800.

It is an arithmetic number, because the mean of its divisors is an integer number (637244388).

Almost surely, 210027199729 is an apocalyptic number.

It is an amenable number.

10027199729 is a deficient number, since it is larger than the sum of its proper divisors (168710479).

10027199729 is a wasteful number, since it uses less digits than its factorization.

10027199729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664.

The product of its (nonzero) digits is 142884, while the sum is 47.

The spelling of 10027199729 in words is "ten billion, twenty-seven million, one hundred ninety-nine thousand, seven hundred twenty-nine".

Divisors: 1 107 277 373 907 29639 39911 97049 103321 251239 338311 11055347 26882573 36199277 93712147 10027199729