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12498896160 = 2534519193263
BaseRepresentation
bin10111010001111111…
…00000010100100000
31012021001212201020000
423220333200110200
5201044204134120
65424130420000
7621506602332
oct135077402440
935231781200
1012498896160
115334334753
122509a31600
13124262135a
14867da7452
154d246b990
hex2e8fe0520

12498896160 has 480 divisors, whose sum is σ = 46850348160. Its totient is φ = 3129311232.

The previous prime is 12498896159. The next prime is 12498896171. The reversal of 12498896160 is 6169889421.

12498896160 is a `hidden beast` number, since 1 + 2 + 498 + 8 + 96 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12498896097 and 12498896106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47524189 + ... + 47524451.

It is an arithmetic number, because the mean of its divisors is an integer number (97604892).

Almost surely, 212498896160 is an apocalyptic number.

12498896160 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 12498896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425174080).

12498896160 is an abundant number, since it is smaller than the sum of its proper divisors (34351452000).

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

12498896160 is a wasteful number, since it uses less digits than its factorization.

12498896160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12498896160 in words is "twelve billion, four hundred ninety-eight million, eight hundred ninety-six thousand, one hundred sixty".