Search a number
-
+
21367079424 = 2935263653
BaseRepresentation
bin10011111001100100…
…111100001000000000
32001011002221002200000
4103321210330020000
5322224433020144
613452122400000
71354332115125
oct237144741000
961132832600
1021367079424
119075183029
124183960000
13202699ac82
141069aa874c
15850cab769
hex4f993c200

21367079424 has 240 divisors, whose sum is σ = 64292260032. Its totient is φ = 7084412928.

The previous prime is 21367079423. The next prime is 21367079429. The reversal of 21367079424 is 42497076312.

21367079424 is a `hidden beast` number, since 213 + 6 + 7 + 0 + 7 + 9 + 424 = 666.

It is a super-2 number, since 2×213670794242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21367079424.

It is not an unprimeable number, because it can be changed into a prime (21367079423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32721082 + ... + 32721734.

Almost surely, 221367079424 is an apocalyptic number.

21367079424 is a gapful number since it is divisible by the number (24) 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 21367079424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32146130016).

21367079424 is an abundant number, since it is smaller than the sum of its proper divisors (42925180608).

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

21367079424 is an frugal number, since it uses more digits than its factorization.

21367079424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 21367079424 in words is "twenty-one billion, three hundred sixty-seven million, seventy-nine thousand, four hundred twenty-four".