Search a number
-
+
49459347630 = 2365711177173
BaseRepresentation
bin101110000100000000…
…011100000010101110
311201122220111012000000
4232010000130002232
51302243043111010
634415445245130
73400435342530
oct560400340256
9151586435000
1049459347630
1119a8056aa10
129703a037a6
134882a53194
1425729d5850
15144719b7c0
hexb8401c0ae

49459347630 has 896 divisors, whose sum is σ = 181134268416. Its totient is φ = 9405849600.

The previous prime is 49459347629. The next prime is 49459347649. The reversal of 49459347630 is 3674395494.

It is a happy number.

49459347630 is a `hidden beast` number, since 4 + 9 + 4 + 593 + 47 + 6 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 677525274 + ... + 677525346.

Almost surely, 249459347630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49459347630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90567134208).

49459347630 is an abundant number, since it is smaller than the sum of its proper divisors (131674920786).

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

49459347630 is a wasteful number, since it uses less digits than its factorization.

49459347630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 49459347630 in words is "forty-nine billion, four hundred fifty-nine million, three hundred forty-seven thousand, six hundred thirty".