Search a number
-
+
49230789120 = 2935579139
BaseRepresentation
bin101101110110011000…
…100011101000000000
311201001222102012200000
4231312120203220000
51301311040222440
634341042400000
73361661542302
oct556630435000
9151058365600
1049230789120
1119973551587
12965b360000
1348475aa066
1425504db972
1514320a0730
hexb76623a00

49230789120 has 240 divisors, whose sum is σ = 176817120480. Its totient is φ = 13128044544.

The previous prime is 49230789119. The next prime is 49230789149. The reversal of 49230789120 is 2198703294.

49230789120 is a `hidden beast` number, since 492 + 3 + 0 + 78 + 91 + 2 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582511 + ... + 661649.

It is an arithmetic number, because the mean of its divisors is an integer number (736738002).

Almost surely, 249230789120 is an apocalyptic number.

49230789120 is a gapful number since it is divisible by the number (40) 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 49230789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88408560240).

49230789120 is an abundant number, since it is smaller than the sum of its proper divisors (127586331360).

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

49230789120 is an frugal number, since it uses more digits than its factorization.

49230789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79177 (or 79149 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 49230789120 in words is "forty-nine billion, two hundred thirty million, seven hundred eighty-nine thousand, one hundred twenty".