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21486193248 = 25313311274373
BaseRepresentation
bin10100000000101011…
…010100101001100000
32001110102001201010010
4110000223110221200
5323000431140443
613512015404520
71360306425552
oct240053245140
961412051103
1021486193248
11912643a003
1241b7823740
132045574720
14107b8334d2
1585b489733
hex500ad4a60

21486193248 has 192 divisors, whose sum is σ = 63207309312. Its totient is φ = 6346045440.

The previous prime is 21486193247. The next prime is 21486193249. The reversal of 21486193248 is 84239168412.

It is an interprime number because it is at equal distance from previous prime (21486193247) and next prime (21486193249).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 21486193197 and 21486193206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21486193247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4911190 + ... + 4915562.

It is an arithmetic number, because the mean of its divisors is an integer number (329204736).

Almost surely, 221486193248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21486193248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31603654656).

21486193248 is an abundant number, since it is smaller than the sum of its proper divisors (41721116064).

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

21486193248 is a wasteful number, since it uses less digits than its factorization.

21486193248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4549 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 21486193248 in words is "twenty-one billion, four hundred eighty-six million, one hundred ninety-three thousand, two hundred forty-eight".