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12414885396480 = 215365731479
BaseRepresentation
bin1011010010101001000011…
…0101011000000000000000
31121221211222201010222000000
42310222100311120000000
53111401141130141410
642223153012000000
72420642301465630
oct264522065300000
947854881128000
1012414885396480
113a5713a172966
121486108000000
136c0945bbc428
1430cc52a926c0
15167e16541dc0
hexb4a90d58000

12414885396480 has 1792 divisors, whose sum is σ = 52811185766400. Its totient is φ = 2740416675840.

The previous prime is 12414885396469. The next prime is 12414885396523. The reversal of 12414885396480 is 8469358841421.

It is a happy number.

12414885396480 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 48 + 85 + 39 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25918340881 + ... + 25918341359.

Almost surely, 212414885396480 is an apocalyptic number.

12414885396480 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 12414885396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26405592883200).

12414885396480 is an abundant number, since it is smaller than the sum of its proper divisors (40396300369920).

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

12414885396480 is an frugal number, since it uses more digits than its factorization.

12414885396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 12414885396480 in words is "twelve trillion, four hundred fourteen billion, eight hundred eighty-five million, three hundred ninety-six thousand, four hundred eighty".