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10479215000 = 235419110973
BaseRepresentation
bin10011100001001110…
…00010000110011000
31000001022111021112002
421300213002012120
5132430134340000
64451501540132
7520453600142
oct116047020630
930038437462
1010479215000
114498275371
122045574648
13cb0075a47
14715a67c92
15414ebc8d5
hex2709c2198

10479215000 has 80 divisors (see below), whose sum is σ = 24683598720. Its totient is φ = 4169360000.

The previous prime is 10479214909. The next prime is 10479215003. The reversal of 10479215000 is 51297401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10479215003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949514 + ... + 960486.

It is an arithmetic number, because the mean of its divisors is an integer number (308544984).

Almost surely, 210479215000 is an apocalyptic number.

10479215000 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 10479215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341799360).

10479215000 is an abundant number, since it is smaller than the sum of its proper divisors (14204383720).

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

10479215000 is a wasteful number, since it uses less digits than its factorization.

10479215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 10479215000 in words is "ten billion, four hundred seventy-nine million, two hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 382 500 625 764 955 1000 1250 1528 1910 2500 3820 4775 5000 7640 9550 10973 19100 21946 23875 38200 43892 47750 54865 87784 95500 109730 119375 191000 219460 238750 274325 438920 477500 548650 955000 1097300 1371625 2095843 2194600 2743250 4191686 5486500 6858125 8383372 10479215 10973000 13716250 16766744 20958430 27432500 41916860 52396075 54865000 83833720 104792150 209584300 261980375 419168600 523960750 1047921500 1309901875 2095843000 2619803750 5239607500 10479215000