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12478830000 = 243547213653
BaseRepresentation
bin10111001111100101…
…11101010110110000
31012012200010020121220
423213302331112300
5201024040030000
65422132345040
7621144206400
oct134762752660
935180106556
1012478830000
115323a7974a
122503175180
13123b416aa0
14865462800
154d08061a0
hex2e7cbd5b0

12478830000 has 600 divisors, whose sum is σ = 50542108848. Its totient is φ = 2628864000.

The previous prime is 12478829981. The next prime is 12478830029. The reversal of 12478830000 is 3887421.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19109674 + ... + 19110326.

Almost surely, 212478830000 is an apocalyptic number.

12478830000 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 12478830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25271054424).

12478830000 is an abundant number, since it is smaller than the sum of its proper divisors (38063278848).

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

12478830000 is a wasteful number, since it uses less digits than its factorization.

12478830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12478830000 in words is "twelve billion, four hundred seventy-eight million, eight hundred thirty thousand".