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10005120500440 = 2351319240616347
BaseRepresentation
bin1001000110010111111110…
…1001110100001011011000
31022102110222001100121220211
42101211333221310023120
52302410441322003230
633140142223100504
72051563133026102
oct221457751641330
938373861317824
1010005120500440
11320816976486a
121157086741734
1357762bc57a40
142683711da572
151253c974d42a
hex9197fa742d8

10005120500440 has 32 divisors (see below), whose sum is σ = 24243176598480. Its totient is φ = 3694198338432.

The previous prime is 10005120500371. The next prime is 10005120500467. The reversal of 10005120500440 is 4400502150001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9620307654 + ... + 9620308693.

Almost surely, 210005120500440 is an apocalyptic number.

10005120500440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005120500440 is an abundant number, since it is smaller than the sum of its proper divisors (14238056098040).

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

10005120500440 is a wasteful number, since it uses less digits than its factorization.

10005120500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19240616371 (or 19240616367 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 10005120500440 its reverse (4400502150001), we get a palindrome (14405622650441).

The spelling of 10005120500440 in words is "ten trillion, five billion, one hundred twenty million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 19240616347 38481232694 76962465388 96203081735 153924930776 192406163470 250128012511 384812326940 500256025022 769624653880 1000512050044 1250640062555 2001024100088 2501280125110 5002560250220 10005120500440