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10391827005 = 325783397469
BaseRepresentation
bin10011010110110011…
…01011001000111101
3222211020001111201200
421223121223020331
5132240301431010
64435100530113
7515343033510
oct115331531075
928736044650
1010391827005
114452a0848a
122020250939
13c97c29981
147081dad77
1540c4a9cc0
hex26b66b23d

10391827005 has 48 divisors (see below), whose sum is σ = 20833787520. Its totient is φ = 4693302144.

The previous prime is 10391827001. The next prime is 10391827009. The reversal of 10391827005 is 50072819301.

10391827005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10391827001) and next prime (10391827009).

It is not a de Polignac number, because 10391827005 - 22 = 10391827001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10391827001) 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 47 ways as a sum of consecutive naturals, for example, 172590 + ... + 224879.

It is an arithmetic number, because the mean of its divisors is an integer number (434037240).

Almost surely, 210391827005 is an apocalyptic number.

10391827005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10391827005 is an abundant number, since it is smaller than the sum of its proper divisors (10441960515).

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

10391827005 is a wasteful number, since it uses less digits than its factorization.

10391827005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397570 (or 397567 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10391827005 in words is "ten billion, three hundred ninety-one million, eight hundred twenty-seven thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 83 105 249 315 415 581 747 1245 1743 2905 3735 5229 8715 26145 397469 1192407 1987345 2782283 3577221 5962035 8346849 13911415 17886105 25040547 32989927 41734245 98969781 125202735 164949635 230929489 296909343 494848905 692788467 1154647445 1484546715 2078365401 3463942335 10391827005