Search a number
-
+
49361913216 = 27347211373
BaseRepresentation
bin101101111110001100…
…110000010110000000
311201102010011000010000
4231332030300112000
51302043122210331
634402045040000
73365143224300
oct557614602600
9151363130100
1049361913216
1119a30571000
129697256000
1348687ca395
142563ab1600
15143d8520e6
hexb7e330580

49361913216 has 960 divisors, whose sum is σ = 190534314960. Its totient is φ = 12645642240.

The previous prime is 49361913199. The next prime is 49361913239. The reversal of 49361913216 is 61231916394.

49361913216 is a `hidden beast` number, since 4 + 9 + 3 + 619 + 1 + 3 + 21 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (209952) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 676190556 + ... + 676190628.

Almost surely, 249361913216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49361913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95267157480).

49361913216 is an abundant number, since it is smaller than the sum of its proper divisors (141172401744).

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

49361913216 is an equidigital number, since it uses as much as digits as its factorization.

49361913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 49361913216 in words is "forty-nine billion, three hundred sixty-one million, nine hundred thirteen thousand, two hundred sixteen".