Search a number
-
+
21448980648 = 233217231913989
BaseRepresentation
bin10011111110011101…
…010111100010101000
32001100211001010000200
4103332131113202220
5322411414340043
613504210032200
71356345220164
oct237635274250
961324033020
1021448980648
119107432697
1241a7278660
13203a945834
141076907ca4
158580887d3
hex4fe7578a8

21448980648 has 192 divisors, whose sum is σ = 64534579200. Its totient is φ = 6401218560.

The previous prime is 21448980647. The next prime is 21448980689. The reversal of 21448980648 is 84608984412.

It is a happy number.

21448980648 is a `hidden beast` number, since 21 + 4 + 489 + 80 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21448980594 and 21448980603.

It is not an unprimeable number, because it can be changed into a prime (21448980647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5375038 + ... + 5379026.

It is an arithmetic number, because the mean of its divisors is an integer number (336117600).

Almost surely, 221448980648 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 21448980648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32267289600).

21448980648 is an abundant number, since it is smaller than the sum of its proper divisors (43085598552).

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

21448980648 is a wasteful number, since it uses less digits than its factorization.

21448980648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 21448980648 in words is "twenty-one billion, four hundred forty-eight million, nine hundred eighty thousand, six hundred forty-eight".