Search a number
-
+
21199549140 = 223257211353619
BaseRepresentation
bin10011101111100101…
…110111001011010100
32000201102200200022200
4103233211313023110
5321404041033030
613423335524500
71350226123500
oct235745671324
960642620280
1021199549140
118a99658050
124137829730
131ccb071b23
141051739300
15841217d60
hex4ef9772d4

21199549140 has 432 divisors, whose sum is σ = 81967878720. Its totient is φ = 4385525760.

The previous prime is 21199549123. The next prime is 21199549207. The reversal of 21199549140 is 4194599112.

21199549140 is a `hidden beast` number, since 2 + 1 + 1 + 99 + 549 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34247751 + ... + 34248369.

It is an arithmetic number, because the mean of its divisors is an integer number (189740460).

Almost surely, 221199549140 is an apocalyptic number.

21199549140 is a gapful number since it is divisible by the number (20) 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 21199549140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40983939360).

21199549140 is an abundant number, since it is smaller than the sum of its proper divisors (60768329580).

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

21199549140 is a wasteful number, since it uses less digits than its factorization.

21199549140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 21199549140 in words is "twenty-one billion, one hundred ninety-nine million, five hundred forty-nine thousand, one hundred forty".