Search a number
-
+
30783149280 = 2534513182711
BaseRepresentation
bin11100101010110100…
…011001010011100000
32221110022221000020000
4130222310121103200
51001020441234110
622050325420000
72136556310622
oct345264312340
987408830200
1030783149280
1112067315744
125b7126a600
132b976c8140
1416c0468c12
15c027731c0
hex72ad194e0

30783149280 has 240 divisors, whose sum is σ = 116996340384. Its totient is φ = 7577349120.

The previous prime is 30783149219. The next prime is 30783149329. The reversal of 30783149280 is 8294138703.

30783149280 is a `hidden beast` number, since 3 + 0 + 7 + 83 + 1 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 77125 + ... + 259835.

Almost surely, 230783149280 is an apocalyptic number.

30783149280 is a gapful number since it is divisible by the number (30) 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 30783149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58498170192).

30783149280 is an abundant number, since it is smaller than the sum of its proper divisors (86213191104).

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

30783149280 is a wasteful number, since it uses less digits than its factorization.

30783149280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182751 (or 182734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 30783149280 in words is "thirty billion, seven hundred eighty-three million, one hundred forty-nine thousand, two hundred eighty".