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10729458852 = 2237218247379
BaseRepresentation
bin10011111111000011…
…01000110010100100
31000200202100222112220
421333201220302210
5133433220140402
64532401312340
7526612616100
oct117741506244
930622328486
1010729458852
114606555272
1220b53356b0
13101cb72428
1473ada8900
1542be4ddbc
hex27f868ca4

10729458852 has 36 divisors (see below), whose sum is σ = 29122818480. Its totient is φ = 3065559504.

The previous prime is 10729458827. The next prime is 10729458871. The reversal of 10729458852 is 25885492701.

10729458852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107294588522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10729458795 and 10729458804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9123102 + ... + 9124277.

It is an arithmetic number, because the mean of its divisors is an integer number (808967180).

Almost surely, 210729458852 is an apocalyptic number.

10729458852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10729458852 is an abundant number, since it is smaller than the sum of its proper divisors (18393359628).

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

10729458852 is a wasteful number, since it uses less digits than its factorization.

10729458852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18247400 (or 18247391 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 10729458852 in words is "ten billion, seven hundred twenty-nine million, four hundred fifty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 18247379 36494758 54742137 72989516 109484274 127731653 218968548 255463306 383194959 510926612 766389918 894121571 1532779836 1788243142 2682364713 3576486284 5364729426 10729458852