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10009181920 = 25562557387
BaseRepresentation
bin10010101001001011…
…11111111011100000
3221211120001010100111
421110211333323200
5130444322310140
64333111301104
7503015433253
oct112445777340
927746033314
1010009181920
114276a16581
121b3407a794
13c3688386a
146ad47309a
153d8ac37ea
hex25497fee0

10009181920 has 24 divisors (see below), whose sum is σ = 23646692664. Its totient is φ = 4003672704.

The previous prime is 10009181879. The next prime is 10009181981. The reversal of 10009181920 is 2918190001.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 31278534 + ... + 31278853.

It is an arithmetic number, because the mean of its divisors is an integer number (985278861).

Almost surely, 210009181920 is an apocalyptic number.

10009181920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10009181920 is an abundant number, since it is smaller than the sum of its proper divisors (13637510744).

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

10009181920 is an equidigital number, since it uses as much as digits as its factorization.

10009181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62557402 (or 62557394 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 10009181920 in words is "ten billion, nine million, one hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 62557387 125114774 250229548 312786935 500459096 625573870 1000918192 1251147740 2001836384 2502295480 5004590960 10009181920