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10938482000 = 24535992699
BaseRepresentation
bin10100010111111101…
…11111110101010000
31001020022200110101222
422023332333311100
5134400222411000
65005225344212
7535031364035
oct121376776520
931208613358
1010938482000
114703540476
122153338068
131054268774
1475aa5938c
1544048ba85
hex28bfbfd50

10938482000 has 80 divisors (see below), whose sum is σ = 26897832000. Its totient is φ = 4301187200.

The previous prime is 10938481993. The next prime is 10938482003. The reversal of 10938482000 is 28483901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938482003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71651 + ... + 164349.

It is an arithmetic number, because the mean of its divisors is an integer number (336222900).

Almost surely, 210938482000 is an apocalyptic number.

10938482000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10938482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448916000).

10938482000 is an abundant number, since it is smaller than the sum of its proper divisors (15959350000).

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

10938482000 is an equidigital number, since it uses as much as digits as its factorization.

10938482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92781 (or 92765 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 10938482000 in words is "ten billion, nine hundred thirty-eight million, four hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 59000 92699 118000 185398 370796 463495 741592 926990 1483184 1853980 2317475 3707960 4634950 5469241 7415920 9269900 10938482 11587375 18539800 21876964 23174750 27346205 37079600 43753928 46349500 54692410 87507856 92699000 109384820 136731025 185398000 218769640 273462050 437539280 546924100 683655125 1093848200 1367310250 2187696400 2734620500 5469241000 10938482000