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1000105247620 = 22576965026349
BaseRepresentation
bin11101000110110101110…
…10110000001110000100
310112121110001110120002001
432203122322300032010
5112341203420410440
62043235250155044
7132153353225263
oct16433272601604
93477401416061
101000105247620
11356162380aa6
121419b1282a84
1373404028a3b
14365964025da
151b035b05b9a
hexe8daeb0384

1000105247620 has 24 divisors (see below), whose sum is σ = 2102952159000. Its totient is φ = 399521882112.

The previous prime is 1000105247587. The next prime is 1000105247623. The reversal of 1000105247620 is 267425010001.

It can be written as a sum of positive squares in 4 ways, for example, as 295744542976 + 704360704644 = 543824^2 + 839262^2 .

It is not an unprimeable number, because it can be changed into a prime (1000105247623) 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 7 ways as a sum of consecutive naturals, for example, 32497795 + ... + 32528554.

It is an arithmetic number, because the mean of its divisors is an integer number (87623006625).

Almost surely, 21000105247620 is an apocalyptic number.

1000105247620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000105247620 is an abundant number, since it is smaller than the sum of its proper divisors (1102846911380).

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

1000105247620 is a wasteful number, since it uses less digits than its factorization.

1000105247620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65027127 (or 65027125 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 1000105247620 in words is "one trillion, one hundred five million, two hundred forty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 7690 15380 65026349 130052698 260105396 325131745 650263490 1300526980 50005262381 100010524762 200021049524 250026311905 500052623810 1000105247620